(0) Obligation:

Clauses:

sum(.(s(N), XS), .(M, YS), ZS) :- sum(.(N, XS), .(s(M), YS), ZS).
sum(.(0, XS), YS, ZS) :- sum(XS, YS, ZS).
sum([], YS, YS).
weight(.(N, .(M, XS)), X) :- ','(sum(.(N, .(M, XS)), .(0, XS), YS), weight(YS, X)).
weight(.(X, []), X).

Queries:

weight(g,a).

(1) PrologToPrologProblemTransformerProof (SOUND transformation)

Built Prolog problem from termination graph.

(2) Obligation:

Clauses:

sum47(s(T181), T182, T183, T184, X383) :- sum47(T181, T182, T183, s(T184), X383).
sum47(0, T201, T202, T203, X414) :- sum55(T201, T202, T203, X414).
sum55(s(T219), T220, T221, X453) :- sum55(T219, T220, s(T221), X453).
sum55(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) :- sum101(T358, T359, s(s(s(s(s(s(s(T360))))))), X769).
sum55(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) :- sum385(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938).
sum55(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) :- sum385(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008).
sum55(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) :- sum385(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078).
sum55(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) :- sum385(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148).
sum55(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) :- sum385(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218).
sum55(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) :- sum385(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288).
sum55(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) :- sum385(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319).
sum55(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))).
sum55(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))).
sum55(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))).
sum55(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))).
sum55(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))).
sum55(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))).
sum55(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) :- sum385(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418).
sum55(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) :- sum385(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488).
sum55(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) :- sum385(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558).
sum55(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) :- sum385(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628).
sum55(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) :- sum385(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698).
sum55(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) :- sum385(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768).
sum55(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) :- sum385(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799).
sum55(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))).
sum55(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))).
sum55(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))).
sum55(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))).
sum55(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))).
sum55(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))).
sum55(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) :- sum385(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898).
sum55(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) :- sum385(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968).
sum55(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) :- sum385(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038).
sum55(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) :- sum385(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108).
sum55(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) :- sum385(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178).
sum55(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) :- sum385(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248).
sum55(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) :- sum385(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279).
sum55(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))).
sum55(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))).
sum55(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))).
sum55(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))).
sum55(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))).
sum55(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))).
sum55(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) :- sum385(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378).
sum55(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) :- sum385(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448).
sum55(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) :- sum385(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518).
sum55(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) :- sum385(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588).
sum55(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) :- sum385(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658).
sum55(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) :- sum385(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728).
sum55(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) :- sum385(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759).
sum55(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))).
sum55(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))).
sum55(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))).
sum55(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))).
sum55(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))).
sum55(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))).
sum55(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) :- sum385(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858).
sum55(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) :- sum385(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928).
sum55(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) :- sum385(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998).
sum55(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) :- sum385(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068).
sum55(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) :- sum385(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138).
sum55(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) :- sum385(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208).
sum55(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) :- sum385(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239).
sum55(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))).
sum55(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))).
sum55(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))).
sum55(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))).
sum55(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))).
sum55(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))).
sum55(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) :- sum385(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338).
sum55(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) :- sum385(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408).
sum55(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) :- sum385(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478).
sum55(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) :- sum385(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548).
sum55(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) :- sum385(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618).
sum55(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) :- sum385(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688).
sum55(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) :- sum385(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719).
sum55(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))).
sum55(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))).
sum55(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))).
sum55(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))).
sum55(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))).
sum55(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))).
sum55(0, .(0, .(s(T5445), T5446)), T5447, X7818) :- sum385(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818).
sum55(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) :- sum385(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888).
sum55(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) :- sum385(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958).
sum55(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) :- sum385(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028).
sum55(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) :- sum385(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098).
sum55(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) :- sum385(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168).
sum55(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) :- sum385(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199).
sum55(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))).
sum55(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))).
sum55(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))).
sum55(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))).
sum55(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))).
sum55(0, .(0, []), T5641, .(s(T5641), .(0, []))).
sum55(0, [], T5644, .(s(T5644), [])).
sum107(s(T407), T408, T409, T410, X863) :- sum107(T407, T408, s(T409), T410, X863).
sum107(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) :- sum147(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138).
sum107(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) :- sum385(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235).
sum107(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) :- sum385(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265).
sum107(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) :- sum385(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295).
sum107(0, .(s(s(0)), T3815), T3816, T3817, X4325) :- sum385(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325).
sum107(0, .(s(0), T3834), T3835, T3836, X4355) :- sum385(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355).
sum107(0, .(0, T3853), T3854, T3855, X4385) :- sum385(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385).
sum107(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))).
sum158(s(T657), T658, T659, T660, T661, X1273) :- sum158(T657, T658, s(T659), T660, T661, X1273).
sum158(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) :- sum193(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507).
sum158(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) :- sum385(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021).
sum158(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) :- sum385(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051).
sum158(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) :- sum385(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081).
sum158(0, .(s(0), T3665), T3666, T3667, T3668, X4111) :- sum385(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111).
sum158(0, .(0, T3690), T3691, T3692, T3693, X4141) :- sum385(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141).
sum158(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))).
sum209(s(T969), T970, T971, T972, T973, T974, X1683) :- sum209(T969, T970, s(T971), T972, T973, T974, X1683).
sum209(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) :- sum239(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876).
sum209(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) :- sum385(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807).
sum209(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) :- sum385(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837).
sum209(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) :- sum385(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867).
sum209(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) :- sum385(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897).
sum209(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))).
sum260(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) :- sum260(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093).
sum260(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) :- sum285(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245).
sum260(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) :- sum385(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593).
sum260(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) :- sum385(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623).
sum260(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) :- sum385(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653).
sum260(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))).
sum311(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) :- sum311(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503).
sum311(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) :- sum331(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614).
sum311(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) :- sum385(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379).
sum311(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) :- sum385(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409).
sum311(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))).
sum362(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) :- sum362(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913).
sum362(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) :- sum377(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983).
sum362(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) :- sum385(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165).
sum362(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))).
sum377(s(T2420), T2421, T2422, T2423, X3030) :- sum377(T2420, T2421, s(T2422), T2423, X3030).
sum377(0, T2440, T2441, T2442, X3061) :- sum385(T2440, T2441, T2442, X3061).
sum385(.(s(T2463), T2464), T2465, T2466, X3100) :- sum377(T2463, T2464, s(T2465), T2466, X3100).
sum385(.(0, T2483), T2484, T2485, X3131) :- sum385(T2483, T2484, T2485, X3131).
sum385([], T2494, T2495, .(s(T2494), T2495)).
sum1335(.(s(T5859), T5860), T5861, X8917) :- sum385(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917).
sum1335(.(0, T5873), T5874, X8948) :- sum1335(T5873, T5874, X8948).
sum1335([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)).
sum1253(s(T5665), T5666, X8303) :- sum55(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303).
sum1253(0, .(s(T5688), T5689), X8379) :- sum385(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379).
sum1253(0, .(0, .(s(T5711), T5712)), X8455) :- sum385(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455).
sum1253(0, .(0, .(0, .(s(T5734), T5735))), X8531) :- sum385(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531).
sum1253(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) :- sum385(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607).
sum1253(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) :- sum385(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683).
sum1253(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) :- sum385(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759).
sum1253(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) :- sum385(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835).
sum1253(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) :- sum1335(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872).
sum1253(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))).
sum1253(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))).
sum1253(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))).
sum1253(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))).
sum1253(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))).
sum1253(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))).
sum1253(0, [], .(s(s(s(s(s(s(s(0))))))), [])).
sum1447(.(s(T6061), T6062), T6063, X9616) :- sum1335(.(T6061, T6062), T6063, X9616).
sum1447(.(0, T6075), T6076, X9647) :- sum1447(T6075, T6076, X9647).
sum1447([], T6082, .(s(s(s(s(s(s(0)))))), T6082)).
sum1373(s(T5901), T5902, X9050) :- sum1253(T5901, T5902, X9050).
sum1373(0, .(s(T5920), T5921), X9120) :- sum1335(.(T5920, T5921), .(s(T5920), T5921), X9120).
sum1373(0, .(0, .(s(T5939), T5940)), X9190) :- sum1335(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190).
sum1373(0, .(0, .(0, .(s(T5958), T5959))), X9260) :- sum1335(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260).
sum1373(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) :- sum1335(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330).
sum1373(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) :- sum1335(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400).
sum1373(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) :- sum1335(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470).
sum1373(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) :- sum1335(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540).
sum1373(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) :- sum1447(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571).
sum1373(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))).
sum1373(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))).
sum1373(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))).
sum1373(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))).
sum1373(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))).
sum1373(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))).
sum1373(0, [], .(s(s(s(s(s(s(0)))))), [])).
sum1559(.(s(T6263), T6264), T6265, X10315) :- sum1447(.(T6263, T6264), T6265, X10315).
sum1559(.(0, T6277), T6278, X10346) :- sum1559(T6277, T6278, X10346).
sum1559([], T6284, .(s(s(s(s(s(0))))), T6284)).
sum1485(s(T6103), T6104, X9749) :- sum1373(T6103, T6104, X9749).
sum1485(0, .(s(T6122), T6123), X9819) :- sum1447(.(T6122, T6123), .(s(T6122), T6123), X9819).
sum1485(0, .(0, .(s(T6141), T6142)), X9889) :- sum1447(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889).
sum1485(0, .(0, .(0, .(s(T6160), T6161))), X9959) :- sum1447(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959).
sum1485(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) :- sum1447(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029).
sum1485(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) :- sum1447(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099).
sum1485(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) :- sum1447(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169).
sum1485(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) :- sum1447(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239).
sum1485(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) :- sum1559(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270).
sum1485(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))).
sum1485(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))).
sum1485(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))).
sum1485(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))).
sum1485(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))).
sum1485(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))).
sum1485(0, [], .(s(s(s(s(s(0))))), [])).
sum1671(.(s(T6465), T6466), T6467, X11014) :- sum1559(.(T6465, T6466), T6467, X11014).
sum1671(.(0, T6479), T6480, X11045) :- sum1671(T6479, T6480, X11045).
sum1671([], T6486, .(s(s(s(s(0)))), T6486)).
sum1597(s(T6305), T6306, X10448) :- sum1485(T6305, T6306, X10448).
sum1597(0, .(s(T6324), T6325), X10518) :- sum1559(.(T6324, T6325), .(s(T6324), T6325), X10518).
sum1597(0, .(0, .(s(T6343), T6344)), X10588) :- sum1559(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588).
sum1597(0, .(0, .(0, .(s(T6362), T6363))), X10658) :- sum1559(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658).
sum1597(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) :- sum1559(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728).
sum1597(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) :- sum1559(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798).
sum1597(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) :- sum1559(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868).
sum1597(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) :- sum1559(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938).
sum1597(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) :- sum1671(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969).
sum1597(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))).
sum1597(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))).
sum1597(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))).
sum1597(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))).
sum1597(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))).
sum1597(0, .(0, []), .(s(s(s(s(0)))), .(0, []))).
sum1597(0, [], .(s(s(s(s(0)))), [])).
sum1783(.(s(T6667), T6668), T6669, X11713) :- sum1671(.(T6667, T6668), T6669, X11713).
sum1783(.(0, T6681), T6682, X11744) :- sum1783(T6681, T6682, X11744).
sum1783([], T6688, .(s(s(s(0))), T6688)).
sum1709(s(T6507), T6508, X11147) :- sum1597(T6507, T6508, X11147).
sum1709(0, .(s(T6526), T6527), X11217) :- sum1671(.(T6526, T6527), .(s(T6526), T6527), X11217).
sum1709(0, .(0, .(s(T6545), T6546)), X11287) :- sum1671(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287).
sum1709(0, .(0, .(0, .(s(T6564), T6565))), X11357) :- sum1671(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357).
sum1709(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) :- sum1671(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427).
sum1709(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) :- sum1671(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497).
sum1709(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) :- sum1671(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567).
sum1709(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) :- sum1671(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637).
sum1709(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) :- sum1783(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668).
sum1709(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))).
sum1709(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))).
sum1709(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))).
sum1709(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))).
sum1709(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))).
sum1709(0, .(0, []), .(s(s(s(0))), .(0, []))).
sum1709(0, [], .(s(s(s(0))), [])).
sum1895(.(s(T6869), T6870), T6871, X12412) :- sum1783(.(T6869, T6870), T6871, X12412).
sum1895(.(0, T6883), T6884, X12443) :- sum1895(T6883, T6884, X12443).
sum1895([], T6890, .(s(s(0)), T6890)).
sum1821(s(T6709), T6710, X11846) :- sum1709(T6709, T6710, X11846).
sum1821(0, .(s(T6728), T6729), X11916) :- sum1783(.(T6728, T6729), .(s(T6728), T6729), X11916).
sum1821(0, .(0, .(s(T6747), T6748)), X11986) :- sum1783(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986).
sum1821(0, .(0, .(0, .(s(T6766), T6767))), X12056) :- sum1783(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056).
sum1821(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) :- sum1783(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126).
sum1821(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) :- sum1783(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196).
sum1821(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) :- sum1783(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266).
sum1821(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) :- sum1783(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336).
sum1821(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) :- sum1895(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367).
sum1821(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))).
sum1821(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))).
sum1821(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))).
sum1821(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))).
sum1821(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))).
sum1821(0, .(0, []), .(s(s(0)), .(0, []))).
sum1821(0, [], .(s(s(0)), [])).
sum2007(.(s(T7071), T7072), T7073, X13111) :- sum1895(.(T7071, T7072), T7073, X13111).
sum2007(.(0, T7085), T7086, X13142) :- sum2007(T7085, T7086, X13142).
sum2007([], T7092, .(s(0), T7092)).
sum1933(s(T6911), T6912, X12545) :- sum1821(T6911, T6912, X12545).
sum1933(0, .(s(T6930), T6931), X12615) :- sum1895(.(T6930, T6931), .(s(T6930), T6931), X12615).
sum1933(0, .(0, .(s(T6949), T6950)), X12685) :- sum1895(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685).
sum1933(0, .(0, .(0, .(s(T6968), T6969))), X12755) :- sum1895(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755).
sum1933(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) :- sum1895(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825).
sum1933(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) :- sum1895(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895).
sum1933(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) :- sum1895(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965).
sum1933(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) :- sum1895(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035).
sum1933(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) :- sum2007(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066).
sum1933(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))).
sum1933(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))).
sum1933(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))).
sum1933(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))).
sum1933(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))).
sum1933(0, .(0, []), .(s(0), .(0, []))).
sum1933(0, [], .(s(0), [])).
sum2121(.(s(T7280), T7281), T7282, X13821) :- sum2007(.(T7280, T7281), T7282, X13821).
sum2121(.(0, T7294), T7295, X13852) :- sum2121(T7294, T7295, X13852).
sum2121([], T7301, .(0, T7301)).
sum101(s(T380), T381, T382, X816) :- sum107(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816).
sum101(0, .(s(T3891), T3892), T3893, X4458) :- sum385(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458).
sum101(0, .(0, .(s(T3922), T3923)), T3924, X4528) :- sum385(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528).
sum101(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) :- sum385(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598).
sum101(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) :- sum385(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668).
sum101(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) :- sum385(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738).
sum101(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) :- sum385(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808).
sum101(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) :- sum385(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839).
sum101(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))).
sum101(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))).
sum101(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))).
sum101(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))).
sum101(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))).
sum101(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))).
sum147(s(s(T623)), T624, T625, T626, X1226) :- sum158(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226).
sum147(s(0), T3720, T3721, T3722, X4175) :- sum385(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175).
sum147(0, T3739, T3740, T3741, X4205) :- sum385(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205).
sum193(s(s(s(T928))), T929, T930, T931, T932, X1636) :- sum209(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636).
sum193(s(s(0)), T3515, T3516, T3517, T3518, X3931) :- sum385(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931).
sum193(s(0), T3540, T3541, T3542, T3543, X3961) :- sum385(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961).
sum193(0, T3565, T3566, T3567, T3568, X3991) :- sum385(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991).
sum239(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) :- sum260(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046).
sum239(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) :- sum385(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687).
sum239(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) :- sum385(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717).
sum239(s(0), T3321, T3322, T3323, T3324, T3325, X3747) :- sum385(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747).
sum239(0, T3352, T3353, T3354, T3355, T3356, X3777) :- sum385(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777).
sum285(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) :- sum311(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456).
sum285(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) :- sum385(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443).
sum285(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) :- sum385(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473).
sum285(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) :- sum385(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503).
sum285(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) :- sum385(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533).
sum285(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) :- sum385(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563).
sum331(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) :- sum362(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866).
sum331(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) :- sum385(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199).
sum331(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) :- sum385(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229).
sum331(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) :- sum385(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259).
sum331(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) :- sum385(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289).
sum331(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) :- sum385(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319).
sum331(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) :- sum385(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349).
sum10(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) :- sum47(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336).
sum10(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) :- sum1253(T5653, T5654, X8264).
sum10(s(s(s(s(s(0))))), T5889, T5890, X9011) :- sum1373(T5889, T5890, X9011).
sum10(s(s(s(s(0)))), T6091, T6092, X9710) :- sum1485(T6091, T6092, X9710).
sum10(s(s(s(0))), T6293, T6294, X10409) :- sum1597(T6293, T6294, X10409).
sum10(s(s(0)), T6495, T6496, X11108) :- sum1709(T6495, T6496, X11108).
sum10(s(0), T6697, T6698, X11807) :- sum1821(T6697, T6698, X11807).
sum10(0, T6899, T6900, X12506) :- sum1933(T6899, T6900, X12506).
sum2047(s(T7120), T7121, X13255) :- sum1933(T7120, T7121, X13255).
sum2047(0, .(s(T7139), T7140), X13325) :- sum2007(.(T7139, T7140), .(s(T7139), T7140), X13325).
sum2047(0, .(0, .(s(T7158), T7159)), X13395) :- sum2007(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395).
sum2047(0, .(0, .(0, .(s(T7177), T7178))), X13465) :- sum2007(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465).
sum2047(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) :- sum2007(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535).
sum2047(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) :- sum2007(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605).
sum2047(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) :- sum2007(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675).
sum2047(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) :- sum2007(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745).
sum2047(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) :- sum2121(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776).
sum2047(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))).
sum2047(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))).
sum2047(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))).
sum2047(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))).
sum2047(0, .(0, .(0, [])), .(0, .(0, .(0, [])))).
sum2047(0, .(0, []), .(0, .(0, []))).
sum2047(0, [], .(0, [])).
weight1(.(s(T24), .(T25, T26)), T11) :- sum10(T24, T25, T26, X43).
weight1(.(s(T24), .(T25, T26)), T11) :- ','(sum10(T24, T25, T26, T30), weight1(T30, T11)).
weight1(.(0, .(T7105, T7106)), T11) :- sum2047(T7105, T7106, X13210).
weight1(.(0, .(T7105, T7106)), T11) :- ','(sum2047(T7105, T7106, T7109), weight1(T7109, T11)).
weight1(.(T7308, []), T7308).

Queries:

weight1(g,a).

(3) PrologToPiTRSProof (SOUND transformation)

We use the technique of [LOPSTR]. With regard to the inferred argument filtering the predicates were used in the following modes:
weight1_in: (b,f)
sum10_in: (b,b,b,f)
sum47_in: (b,b,b,b,f)
sum55_in: (b,b,b,f)
sum101_in: (b,b,b,f)
sum107_in: (b,b,b,b,f)
sum147_in: (b,b,b,b,f)
sum158_in: (b,b,b,b,b,f)
sum193_in: (b,b,b,b,b,f)
sum209_in: (b,b,b,b,b,b,f)
sum239_in: (b,b,b,b,b,b,f)
sum260_in: (b,b,b,b,b,b,b,f)
sum285_in: (b,b,b,b,b,b,b,f)
sum311_in: (b,b,b,b,b,b,b,b,f)
sum331_in: (b,b,b,b,b,b,b,b,f)
sum362_in: (b,b,b,b,b,b,b,b,b,f)
sum377_in: (b,b,b,b,f)
sum385_in: (b,b,b,f)
sum1253_in: (b,b,f)
sum1335_in: (b,b,f)
sum1373_in: (b,b,f)
sum1447_in: (b,b,f)
sum1485_in: (b,b,f)
sum1559_in: (b,b,f)
sum1597_in: (b,b,f)
sum1671_in: (b,b,f)
sum1709_in: (b,b,f)
sum1783_in: (b,b,f)
sum1821_in: (b,b,f)
sum1895_in: (b,b,f)
sum1933_in: (b,b,f)
sum2007_in: (b,b,f)
sum2047_in: (b,b,f)
sum2121_in: (b,b,f)
Transforming Prolog into the following Term Rewriting System:
Pi-finite rewrite system:
The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)

Infinitary Constructor Rewriting Termination of PiTRS implies Termination of Prolog

(4) Obligation:

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

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)

(5) DependencyPairsProof (EQUIVALENT transformation)

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

WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U220_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → SUM10_IN_GGGA(T24, T25, T26, X43)
SUM10_IN_GGGA(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_GGGA(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
SUM10_IN_GGGA(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → SUM47_IN_GGGGA(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)
SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → U1_GGGGA(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → SUM47_IN_GGGGA(T181, T182, T183, s(T184), X383)
SUM47_IN_GGGGA(0, T201, T202, T203, X414) → U2_GGGGA(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
SUM47_IN_GGGGA(0, T201, T202, T203, X414) → SUM55_IN_GGGA(T201, T202, T203, X414)
SUM55_IN_GGGA(s(T219), T220, T221, X453) → U3_GGGA(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
SUM55_IN_GGGA(s(T219), T220, T221, X453) → SUM55_IN_GGGA(T219, T220, s(T221), X453)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_GGGA(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → SUM101_IN_GGGA(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)
SUM101_IN_GGGA(s(T380), T381, T382, X816) → U170_GGGA(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
SUM101_IN_GGGA(s(T380), T381, T382, X816) → SUM107_IN_GGGGA(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)
SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → U54_GGGGA(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → SUM107_IN_GGGGA(T407, T408, s(T409), T410, X863)
SUM107_IN_GGGGA(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_GGGGA(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
SUM107_IN_GGGGA(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → SUM147_IN_GGGGA(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)
SUM147_IN_GGGGA(s(s(T623)), T624, T625, T626, X1226) → U178_GGGGA(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
SUM147_IN_GGGGA(s(s(T623)), T624, T625, T626, X1226) → SUM158_IN_GGGGGA(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)
SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → U62_GGGGGA(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661, X1273)
SUM158_IN_GGGGGA(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_GGGGGA(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
SUM158_IN_GGGGGA(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → SUM193_IN_GGGGGA(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)
SUM193_IN_GGGGGA(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_GGGGGA(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
SUM193_IN_GGGGGA(s(s(s(T928))), T929, T930, T931, T932, X1636) → SUM209_IN_GGGGGGA(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)
SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → U69_GGGGGGA(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974, X1683)
SUM209_IN_GGGGGGA(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_GGGGGGA(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
SUM209_IN_GGGGGGA(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → SUM239_IN_GGGGGGA(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)
SUM239_IN_GGGGGGA(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_GGGGGGA(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
SUM239_IN_GGGGGGA(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → SUM260_IN_GGGGGGGA(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)
SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_GGGGGGGA(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)
SUM260_IN_GGGGGGGA(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_GGGGGGGA(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
SUM260_IN_GGGGGGGA(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → SUM285_IN_GGGGGGGA(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)
SUM285_IN_GGGGGGGA(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_GGGGGGGA(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
SUM285_IN_GGGGGGGA(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → SUM311_IN_GGGGGGGGA(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)
SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_GGGGGGGGA(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)
SUM311_IN_GGGGGGGGA(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_GGGGGGGGA(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
SUM311_IN_GGGGGGGGA(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → SUM331_IN_GGGGGGGGA(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)
SUM331_IN_GGGGGGGGA(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_GGGGGGGGA(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
SUM331_IN_GGGGGGGGA(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → SUM362_IN_GGGGGGGGGA(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)
SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_GGGGGGGGGA(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)
SUM362_IN_GGGGGGGGGA(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_GGGGGGGGGA(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
SUM362_IN_GGGGGGGGGA(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → SUM377_IN_GGGGA(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → U87_GGGGA(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423, X3030)
SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → U88_GGGGA(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → SUM385_IN_GGGA(T2440, T2441, T2442, X3061)
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → U89_GGGA(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466, X3100)
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → U90_GGGA(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → SUM385_IN_GGGA(T2483, T2484, T2485, X3131)
SUM362_IN_GGGGGGGGGA(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_GGGGGGGGGA(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
SUM362_IN_GGGGGGGGGA(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → SUM385_IN_GGGA(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)
SUM331_IN_GGGGGGGGA(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_GGGGGGGGA(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
SUM331_IN_GGGGGGGGA(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → SUM385_IN_GGGA(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)
SUM331_IN_GGGGGGGGA(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_GGGGGGGGA(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
SUM331_IN_GGGGGGGGA(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → SUM385_IN_GGGA(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)
SUM331_IN_GGGGGGGGA(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_GGGGGGGGA(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
SUM331_IN_GGGGGGGGA(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → SUM385_IN_GGGA(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)
SUM331_IN_GGGGGGGGA(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_GGGGGGGGA(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
SUM331_IN_GGGGGGGGA(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → SUM385_IN_GGGA(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)
SUM331_IN_GGGGGGGGA(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_GGGGGGGGA(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
SUM331_IN_GGGGGGGGA(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → SUM385_IN_GGGA(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)
SUM331_IN_GGGGGGGGA(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_GGGGGGGGA(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
SUM331_IN_GGGGGGGGA(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → SUM385_IN_GGGA(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)
SUM311_IN_GGGGGGGGA(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_GGGGGGGGA(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
SUM311_IN_GGGGGGGGA(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → SUM385_IN_GGGA(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)
SUM311_IN_GGGGGGGGA(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_GGGGGGGGA(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
SUM311_IN_GGGGGGGGA(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → SUM385_IN_GGGA(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)
SUM285_IN_GGGGGGGA(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_GGGGGGGA(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
SUM285_IN_GGGGGGGA(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → SUM385_IN_GGGA(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)
SUM285_IN_GGGGGGGA(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_GGGGGGGA(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
SUM285_IN_GGGGGGGA(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → SUM385_IN_GGGA(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)
SUM285_IN_GGGGGGGA(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_GGGGGGGA(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
SUM285_IN_GGGGGGGA(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → SUM385_IN_GGGA(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)
SUM285_IN_GGGGGGGA(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_GGGGGGGA(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
SUM285_IN_GGGGGGGA(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → SUM385_IN_GGGA(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)
SUM285_IN_GGGGGGGA(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_GGGGGGGA(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
SUM285_IN_GGGGGGGA(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → SUM385_IN_GGGA(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)
SUM260_IN_GGGGGGGA(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_GGGGGGGA(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
SUM260_IN_GGGGGGGA(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → SUM385_IN_GGGA(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)
SUM260_IN_GGGGGGGA(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_GGGGGGGA(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
SUM260_IN_GGGGGGGA(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → SUM385_IN_GGGA(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)
SUM260_IN_GGGGGGGA(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_GGGGGGGA(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
SUM260_IN_GGGGGGGA(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → SUM385_IN_GGGA(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)
SUM239_IN_GGGGGGA(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_GGGGGGA(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
SUM239_IN_GGGGGGA(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → SUM385_IN_GGGA(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)
SUM239_IN_GGGGGGA(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_GGGGGGA(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
SUM239_IN_GGGGGGA(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → SUM385_IN_GGGA(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)
SUM239_IN_GGGGGGA(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_GGGGGGA(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
SUM239_IN_GGGGGGA(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → SUM385_IN_GGGA(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)
SUM239_IN_GGGGGGA(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_GGGGGGA(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
SUM239_IN_GGGGGGA(0, T3352, T3353, T3354, T3355, T3356, X3777) → SUM385_IN_GGGA(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)
SUM209_IN_GGGGGGA(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_GGGGGGA(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
SUM209_IN_GGGGGGA(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → SUM385_IN_GGGA(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)
SUM209_IN_GGGGGGA(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_GGGGGGA(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
SUM209_IN_GGGGGGA(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → SUM385_IN_GGGA(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)
SUM209_IN_GGGGGGA(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_GGGGGGA(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
SUM209_IN_GGGGGGA(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → SUM385_IN_GGGA(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)
SUM209_IN_GGGGGGA(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_GGGGGGA(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
SUM209_IN_GGGGGGA(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → SUM385_IN_GGGA(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)
SUM193_IN_GGGGGA(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_GGGGGA(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
SUM193_IN_GGGGGA(s(s(0)), T3515, T3516, T3517, T3518, X3931) → SUM385_IN_GGGA(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)
SUM193_IN_GGGGGA(s(0), T3540, T3541, T3542, T3543, X3961) → U183_GGGGGA(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
SUM193_IN_GGGGGA(s(0), T3540, T3541, T3542, T3543, X3961) → SUM385_IN_GGGA(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)
SUM193_IN_GGGGGA(0, T3565, T3566, T3567, T3568, X3991) → U184_GGGGGA(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
SUM193_IN_GGGGGA(0, T3565, T3566, T3567, T3568, X3991) → SUM385_IN_GGGA(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)
SUM158_IN_GGGGGA(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_GGGGGA(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
SUM158_IN_GGGGGA(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → SUM385_IN_GGGA(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)
SUM158_IN_GGGGGA(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_GGGGGA(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
SUM158_IN_GGGGGA(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → SUM385_IN_GGGA(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)
SUM158_IN_GGGGGA(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_GGGGGA(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
SUM158_IN_GGGGGA(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → SUM385_IN_GGGA(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)
SUM158_IN_GGGGGA(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_GGGGGA(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
SUM158_IN_GGGGGA(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → SUM385_IN_GGGA(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)
SUM158_IN_GGGGGA(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_GGGGGA(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
SUM158_IN_GGGGGA(0, .(0, T3690), T3691, T3692, T3693, X4141) → SUM385_IN_GGGA(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)
SUM147_IN_GGGGA(s(0), T3720, T3721, T3722, X4175) → U179_GGGGA(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
SUM147_IN_GGGGA(s(0), T3720, T3721, T3722, X4175) → SUM385_IN_GGGA(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)
SUM147_IN_GGGGA(0, T3739, T3740, T3741, X4205) → U180_GGGGA(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
SUM147_IN_GGGGA(0, T3739, T3740, T3741, X4205) → SUM385_IN_GGGA(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)
SUM107_IN_GGGGA(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_GGGGA(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
SUM107_IN_GGGGA(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → SUM385_IN_GGGA(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)
SUM107_IN_GGGGA(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_GGGGA(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
SUM107_IN_GGGGA(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → SUM385_IN_GGGA(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)
SUM107_IN_GGGGA(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_GGGGA(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
SUM107_IN_GGGGA(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → SUM385_IN_GGGA(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)
SUM107_IN_GGGGA(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_GGGGA(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
SUM107_IN_GGGGA(0, .(s(s(0)), T3815), T3816, T3817, X4325) → SUM385_IN_GGGA(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)
SUM107_IN_GGGGA(0, .(s(0), T3834), T3835, T3836, X4355) → U60_GGGGA(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
SUM107_IN_GGGGA(0, .(s(0), T3834), T3835, T3836, X4355) → SUM385_IN_GGGA(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)
SUM107_IN_GGGGA(0, .(0, T3853), T3854, T3855, X4385) → U61_GGGGA(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
SUM107_IN_GGGGA(0, .(0, T3853), T3854, T3855, X4385) → SUM385_IN_GGGA(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)
SUM101_IN_GGGA(0, .(s(T3891), T3892), T3893, X4458) → U171_GGGA(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
SUM101_IN_GGGA(0, .(s(T3891), T3892), T3893, X4458) → SUM385_IN_GGGA(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)
SUM101_IN_GGGA(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_GGGA(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
SUM101_IN_GGGA(0, .(0, .(s(T3922), T3923)), T3924, X4528) → SUM385_IN_GGGA(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)
SUM101_IN_GGGA(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_GGGA(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
SUM101_IN_GGGA(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → SUM385_IN_GGGA(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_GGGA(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → SUM385_IN_GGGA(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_GGGA(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → SUM385_IN_GGGA(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_GGGA(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → SUM385_IN_GGGA(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_GGGA(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → SUM385_IN_GGGA(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_GGGA(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → SUM385_IN_GGGA(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_GGGA(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → SUM385_IN_GGGA(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_GGGA(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → SUM385_IN_GGGA(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_GGGA(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → SUM385_IN_GGGA(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_GGGA(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → SUM385_IN_GGGA(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_GGGA(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → SUM385_IN_GGGA(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_GGGA(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → SUM385_IN_GGGA(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_GGGA(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → SUM385_IN_GGGA(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_GGGA(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → SUM385_IN_GGGA(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_GGGA(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → SUM385_IN_GGGA(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_GGGA(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → SUM385_IN_GGGA(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_GGGA(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → SUM385_IN_GGGA(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_GGGA(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → SUM385_IN_GGGA(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_GGGA(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → SUM385_IN_GGGA(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_GGGA(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → SUM385_IN_GGGA(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_GGGA(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → SUM385_IN_GGGA(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_GGGA(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → SUM385_IN_GGGA(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_GGGA(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → SUM385_IN_GGGA(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_GGGA(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → SUM385_IN_GGGA(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_GGGA(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → SUM385_IN_GGGA(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_GGGA(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → SUM385_IN_GGGA(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_GGGA(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → SUM385_IN_GGGA(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_GGGA(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → SUM385_IN_GGGA(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_GGGA(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → SUM385_IN_GGGA(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_GGGA(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → SUM385_IN_GGGA(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_GGGA(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → SUM385_IN_GGGA(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_GGGA(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → SUM385_IN_GGGA(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_GGGA(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → SUM385_IN_GGGA(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)
SUM55_IN_GGGA(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_GGGA(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
SUM55_IN_GGGA(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → SUM385_IN_GGGA(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_GGGA(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → SUM385_IN_GGGA(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_GGGA(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → SUM385_IN_GGGA(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_GGGA(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → SUM385_IN_GGGA(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_GGGA(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → SUM385_IN_GGGA(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_GGGA(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → SUM385_IN_GGGA(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_GGGA(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → SUM385_IN_GGGA(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)
SUM55_IN_GGGA(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_GGGA(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
SUM55_IN_GGGA(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → SUM385_IN_GGGA(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)
SUM55_IN_GGGA(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_GGGA(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
SUM55_IN_GGGA(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → SUM385_IN_GGGA(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_GGGA(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → SUM385_IN_GGGA(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_GGGA(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → SUM385_IN_GGGA(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_GGGA(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → SUM385_IN_GGGA(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_GGGA(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → SUM385_IN_GGGA(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_GGGA(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → SUM385_IN_GGGA(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)
SUM55_IN_GGGA(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_GGGA(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
SUM55_IN_GGGA(0, .(0, .(s(T5445), T5446)), T5447, X7818) → SUM385_IN_GGGA(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)
SUM55_IN_GGGA(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_GGGA(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
SUM55_IN_GGGA(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → SUM385_IN_GGGA(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_GGGA(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → SUM385_IN_GGGA(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_GGGA(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → SUM385_IN_GGGA(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_GGGA(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → SUM385_IN_GGGA(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_GGGA(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → SUM385_IN_GGGA(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_GGGA(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → SUM385_IN_GGGA(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)
SUM10_IN_GGGA(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_GGGA(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
SUM10_IN_GGGA(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → SUM1253_IN_GGA(T5653, T5654, X8264)
SUM1253_IN_GGA(s(T5665), T5666, X8303) → U93_GGA(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
SUM1253_IN_GGA(s(T5665), T5666, X8303) → SUM55_IN_GGGA(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)
SUM1253_IN_GGA(0, .(s(T5688), T5689), X8379) → U94_GGA(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
SUM1253_IN_GGA(0, .(s(T5688), T5689), X8379) → SUM385_IN_GGGA(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)
SUM1253_IN_GGA(0, .(0, .(s(T5711), T5712)), X8455) → U95_GGA(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
SUM1253_IN_GGA(0, .(0, .(s(T5711), T5712)), X8455) → SUM385_IN_GGGA(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)
SUM1253_IN_GGA(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_GGA(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
SUM1253_IN_GGA(0, .(0, .(0, .(s(T5734), T5735))), X8531) → SUM385_IN_GGGA(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_GGA(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → SUM385_IN_GGGA(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_GGA(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → SUM385_IN_GGGA(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_GGA(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → SUM385_IN_GGGA(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_GGA(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → SUM385_IN_GGGA(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_GGA(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → SUM1335_IN_GGA(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
SUM1335_IN_GGA(.(s(T5859), T5860), T5861, X8917) → U91_GGA(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
SUM1335_IN_GGA(.(s(T5859), T5860), T5861, X8917) → SUM385_IN_GGGA(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)
SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → U92_GGA(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → SUM1335_IN_GGA(T5873, T5874, X8948)
SUM10_IN_GGGA(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_GGGA(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
SUM10_IN_GGGA(s(s(s(s(s(0))))), T5889, T5890, X9011) → SUM1373_IN_GGA(T5889, T5890, X9011)
SUM1373_IN_GGA(s(T5901), T5902, X9050) → U104_GGA(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
SUM1373_IN_GGA(s(T5901), T5902, X9050) → SUM1253_IN_GGA(T5901, T5902, X9050)
SUM1373_IN_GGA(0, .(s(T5920), T5921), X9120) → U105_GGA(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
SUM1373_IN_GGA(0, .(s(T5920), T5921), X9120) → SUM1335_IN_GGA(.(T5920, T5921), .(s(T5920), T5921), X9120)
SUM1373_IN_GGA(0, .(0, .(s(T5939), T5940)), X9190) → U106_GGA(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
SUM1373_IN_GGA(0, .(0, .(s(T5939), T5940)), X9190) → SUM1335_IN_GGA(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)
SUM1373_IN_GGA(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_GGA(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
SUM1373_IN_GGA(0, .(0, .(0, .(s(T5958), T5959))), X9260) → SUM1335_IN_GGA(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_GGA(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → SUM1335_IN_GGA(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_GGA(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → SUM1335_IN_GGA(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_GGA(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → SUM1335_IN_GGA(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_GGA(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → SUM1335_IN_GGA(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_GGA(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → SUM1447_IN_GGA(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
SUM1447_IN_GGA(.(s(T6061), T6062), T6063, X9616) → U102_GGA(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
SUM1447_IN_GGA(.(s(T6061), T6062), T6063, X9616) → SUM1335_IN_GGA(.(T6061, T6062), T6063, X9616)
SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → U103_GGA(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → SUM1447_IN_GGA(T6075, T6076, X9647)
SUM10_IN_GGGA(s(s(s(s(0)))), T6091, T6092, X9710) → U206_GGGA(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
SUM10_IN_GGGA(s(s(s(s(0)))), T6091, T6092, X9710) → SUM1485_IN_GGA(T6091, T6092, X9710)
SUM1485_IN_GGA(s(T6103), T6104, X9749) → U115_GGA(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
SUM1485_IN_GGA(s(T6103), T6104, X9749) → SUM1373_IN_GGA(T6103, T6104, X9749)
SUM1485_IN_GGA(0, .(s(T6122), T6123), X9819) → U116_GGA(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
SUM1485_IN_GGA(0, .(s(T6122), T6123), X9819) → SUM1447_IN_GGA(.(T6122, T6123), .(s(T6122), T6123), X9819)
SUM1485_IN_GGA(0, .(0, .(s(T6141), T6142)), X9889) → U117_GGA(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
SUM1485_IN_GGA(0, .(0, .(s(T6141), T6142)), X9889) → SUM1447_IN_GGA(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)
SUM1485_IN_GGA(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_GGA(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
SUM1485_IN_GGA(0, .(0, .(0, .(s(T6160), T6161))), X9959) → SUM1447_IN_GGA(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_GGA(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → SUM1447_IN_GGA(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_GGA(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → SUM1447_IN_GGA(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_GGA(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → SUM1447_IN_GGA(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_GGA(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → SUM1447_IN_GGA(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_GGA(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → SUM1559_IN_GGA(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
SUM1559_IN_GGA(.(s(T6263), T6264), T6265, X10315) → U113_GGA(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
SUM1559_IN_GGA(.(s(T6263), T6264), T6265, X10315) → SUM1447_IN_GGA(.(T6263, T6264), T6265, X10315)
SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → U114_GGA(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → SUM1559_IN_GGA(T6277, T6278, X10346)
SUM10_IN_GGGA(s(s(s(0))), T6293, T6294, X10409) → U207_GGGA(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
SUM10_IN_GGGA(s(s(s(0))), T6293, T6294, X10409) → SUM1597_IN_GGA(T6293, T6294, X10409)
SUM1597_IN_GGA(s(T6305), T6306, X10448) → U126_GGA(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
SUM1597_IN_GGA(s(T6305), T6306, X10448) → SUM1485_IN_GGA(T6305, T6306, X10448)
SUM1597_IN_GGA(0, .(s(T6324), T6325), X10518) → U127_GGA(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
SUM1597_IN_GGA(0, .(s(T6324), T6325), X10518) → SUM1559_IN_GGA(.(T6324, T6325), .(s(T6324), T6325), X10518)
SUM1597_IN_GGA(0, .(0, .(s(T6343), T6344)), X10588) → U128_GGA(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
SUM1597_IN_GGA(0, .(0, .(s(T6343), T6344)), X10588) → SUM1559_IN_GGA(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)
SUM1597_IN_GGA(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_GGA(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
SUM1597_IN_GGA(0, .(0, .(0, .(s(T6362), T6363))), X10658) → SUM1559_IN_GGA(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_GGA(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → SUM1559_IN_GGA(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_GGA(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → SUM1559_IN_GGA(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_GGA(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → SUM1559_IN_GGA(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_GGA(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → SUM1559_IN_GGA(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_GGA(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → SUM1671_IN_GGA(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
SUM1671_IN_GGA(.(s(T6465), T6466), T6467, X11014) → U124_GGA(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
SUM1671_IN_GGA(.(s(T6465), T6466), T6467, X11014) → SUM1559_IN_GGA(.(T6465, T6466), T6467, X11014)
SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → U125_GGA(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → SUM1671_IN_GGA(T6479, T6480, X11045)
SUM10_IN_GGGA(s(s(0)), T6495, T6496, X11108) → U208_GGGA(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
SUM10_IN_GGGA(s(s(0)), T6495, T6496, X11108) → SUM1709_IN_GGA(T6495, T6496, X11108)
SUM1709_IN_GGA(s(T6507), T6508, X11147) → U137_GGA(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
SUM1709_IN_GGA(s(T6507), T6508, X11147) → SUM1597_IN_GGA(T6507, T6508, X11147)
SUM1709_IN_GGA(0, .(s(T6526), T6527), X11217) → U138_GGA(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
SUM1709_IN_GGA(0, .(s(T6526), T6527), X11217) → SUM1671_IN_GGA(.(T6526, T6527), .(s(T6526), T6527), X11217)
SUM1709_IN_GGA(0, .(0, .(s(T6545), T6546)), X11287) → U139_GGA(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
SUM1709_IN_GGA(0, .(0, .(s(T6545), T6546)), X11287) → SUM1671_IN_GGA(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)
SUM1709_IN_GGA(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_GGA(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
SUM1709_IN_GGA(0, .(0, .(0, .(s(T6564), T6565))), X11357) → SUM1671_IN_GGA(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_GGA(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → SUM1671_IN_GGA(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_GGA(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → SUM1671_IN_GGA(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_GGA(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → SUM1671_IN_GGA(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_GGA(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → SUM1671_IN_GGA(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_GGA(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → SUM1783_IN_GGA(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
SUM1783_IN_GGA(.(s(T6667), T6668), T6669, X11713) → U135_GGA(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
SUM1783_IN_GGA(.(s(T6667), T6668), T6669, X11713) → SUM1671_IN_GGA(.(T6667, T6668), T6669, X11713)
SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → U136_GGA(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → SUM1783_IN_GGA(T6681, T6682, X11744)
SUM10_IN_GGGA(s(0), T6697, T6698, X11807) → U209_GGGA(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
SUM10_IN_GGGA(s(0), T6697, T6698, X11807) → SUM1821_IN_GGA(T6697, T6698, X11807)
SUM1821_IN_GGA(s(T6709), T6710, X11846) → U148_GGA(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
SUM1821_IN_GGA(s(T6709), T6710, X11846) → SUM1709_IN_GGA(T6709, T6710, X11846)
SUM1821_IN_GGA(0, .(s(T6728), T6729), X11916) → U149_GGA(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
SUM1821_IN_GGA(0, .(s(T6728), T6729), X11916) → SUM1783_IN_GGA(.(T6728, T6729), .(s(T6728), T6729), X11916)
SUM1821_IN_GGA(0, .(0, .(s(T6747), T6748)), X11986) → U150_GGA(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
SUM1821_IN_GGA(0, .(0, .(s(T6747), T6748)), X11986) → SUM1783_IN_GGA(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)
SUM1821_IN_GGA(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_GGA(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
SUM1821_IN_GGA(0, .(0, .(0, .(s(T6766), T6767))), X12056) → SUM1783_IN_GGA(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_GGA(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → SUM1783_IN_GGA(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_GGA(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → SUM1783_IN_GGA(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_GGA(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → SUM1783_IN_GGA(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_GGA(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → SUM1783_IN_GGA(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_GGA(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → SUM1895_IN_GGA(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
SUM1895_IN_GGA(.(s(T6869), T6870), T6871, X12412) → U146_GGA(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
SUM1895_IN_GGA(.(s(T6869), T6870), T6871, X12412) → SUM1783_IN_GGA(.(T6869, T6870), T6871, X12412)
SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → U147_GGA(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → SUM1895_IN_GGA(T6883, T6884, X12443)
SUM10_IN_GGGA(0, T6899, T6900, X12506) → U210_GGGA(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
SUM10_IN_GGGA(0, T6899, T6900, X12506) → SUM1933_IN_GGA(T6899, T6900, X12506)
SUM1933_IN_GGA(s(T6911), T6912, X12545) → U159_GGA(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
SUM1933_IN_GGA(s(T6911), T6912, X12545) → SUM1821_IN_GGA(T6911, T6912, X12545)
SUM1933_IN_GGA(0, .(s(T6930), T6931), X12615) → U160_GGA(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
SUM1933_IN_GGA(0, .(s(T6930), T6931), X12615) → SUM1895_IN_GGA(.(T6930, T6931), .(s(T6930), T6931), X12615)
SUM1933_IN_GGA(0, .(0, .(s(T6949), T6950)), X12685) → U161_GGA(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
SUM1933_IN_GGA(0, .(0, .(s(T6949), T6950)), X12685) → SUM1895_IN_GGA(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)
SUM1933_IN_GGA(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_GGA(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
SUM1933_IN_GGA(0, .(0, .(0, .(s(T6968), T6969))), X12755) → SUM1895_IN_GGA(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_GGA(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → SUM1895_IN_GGA(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_GGA(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → SUM1895_IN_GGA(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_GGA(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → SUM1895_IN_GGA(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_GGA(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → SUM1895_IN_GGA(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_GGA(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → SUM2007_IN_GGA(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
SUM2007_IN_GGA(.(s(T7071), T7072), T7073, X13111) → U157_GGA(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
SUM2007_IN_GGA(.(s(T7071), T7072), T7073, X13111) → SUM1895_IN_GGA(.(T7071, T7072), T7073, X13111)
SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → U158_GGA(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → SUM2007_IN_GGA(T7085, T7086, X13142)
WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U221_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_GA(T24, T25, T26, T11, weight1_in_ga(T30, T11))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30, T11)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U223_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → SUM2047_IN_GGA(T7105, T7106, X13210)
SUM2047_IN_GGA(s(T7120), T7121, X13255) → U211_GGA(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
SUM2047_IN_GGA(s(T7120), T7121, X13255) → SUM1933_IN_GGA(T7120, T7121, X13255)
SUM2047_IN_GGA(0, .(s(T7139), T7140), X13325) → U212_GGA(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
SUM2047_IN_GGA(0, .(s(T7139), T7140), X13325) → SUM2007_IN_GGA(.(T7139, T7140), .(s(T7139), T7140), X13325)
SUM2047_IN_GGA(0, .(0, .(s(T7158), T7159)), X13395) → U213_GGA(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
SUM2047_IN_GGA(0, .(0, .(s(T7158), T7159)), X13395) → SUM2007_IN_GGA(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)
SUM2047_IN_GGA(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_GGA(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
SUM2047_IN_GGA(0, .(0, .(0, .(s(T7177), T7178))), X13465) → SUM2007_IN_GGA(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_GGA(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → SUM2007_IN_GGA(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_GGA(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → SUM2007_IN_GGA(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_GGA(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → SUM2007_IN_GGA(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_GGA(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → SUM2007_IN_GGA(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_GGA(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → SUM2121_IN_GGA(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
SUM2121_IN_GGA(.(s(T7280), T7281), T7282, X13821) → U168_GGA(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
SUM2121_IN_GGA(.(s(T7280), T7281), T7282, X13821) → SUM2007_IN_GGA(.(T7280, T7281), T7282, X13821)
SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → U169_GGA(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → SUM2121_IN_GGA(T7294, T7295, X13852)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U224_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_GA(T7105, T7106, T11, weight1_in_ga(T7109, T11))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → WEIGHT1_IN_GA(T7109, T11)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
WEIGHT1_IN_GA(x1, x2)  =  WEIGHT1_IN_GA(x1)
U220_GA(x1, x2, x3, x4, x5)  =  U220_GA(x5)
SUM10_IN_GGGA(x1, x2, x3, x4)  =  SUM10_IN_GGGA(x1, x2, x3)
U203_GGGA(x1, x2, x3, x4, x5)  =  U203_GGGA(x5)
SUM47_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM47_IN_GGGGA(x1, x2, x3, x4)
U1_GGGGA(x1, x2, x3, x4, x5, x6)  =  U1_GGGGA(x6)
U2_GGGGA(x1, x2, x3, x4, x5)  =  U2_GGGGA(x5)
SUM55_IN_GGGA(x1, x2, x3, x4)  =  SUM55_IN_GGGA(x1, x2, x3)
U3_GGGA(x1, x2, x3, x4, x5)  =  U3_GGGA(x5)
U4_GGGA(x1, x2, x3, x4, x5)  =  U4_GGGA(x5)
SUM101_IN_GGGA(x1, x2, x3, x4)  =  SUM101_IN_GGGA(x1, x2, x3)
U170_GGGA(x1, x2, x3, x4, x5)  =  U170_GGGA(x5)
SUM107_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM107_IN_GGGGA(x1, x2, x3, x4)
U54_GGGGA(x1, x2, x3, x4, x5, x6)  =  U54_GGGGA(x6)
U55_GGGGA(x1, x2, x3, x4, x5, x6)  =  U55_GGGGA(x6)
SUM147_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM147_IN_GGGGA(x1, x2, x3, x4)
U178_GGGGA(x1, x2, x3, x4, x5, x6)  =  U178_GGGGA(x6)
SUM158_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM158_IN_GGGGGA(x1, x2, x3, x4, x5)
U62_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U62_GGGGGA(x7)
U63_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U63_GGGGGA(x7)
SUM193_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM193_IN_GGGGGA(x1, x2, x3, x4, x5)
U181_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U181_GGGGGA(x7)
SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)
U69_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_GGGGGGA(x8)
U70_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_GGGGGGA(x8)
SUM239_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM239_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)
U185_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_GGGGGGA(x8)
SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)
U75_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_GGGGGGGA(x9)
U76_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_GGGGGGGA(x9)
SUM285_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM285_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)
U190_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_GGGGGGGA(x9)
SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)
U80_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_GGGGGGGGA(x10)
U81_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_GGGGGGGGA(x10)
SUM331_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM331_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)
U196_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_GGGGGGGGA(x10)
SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_GGGGGGGGGA(x11)
U85_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_GGGGGGGGGA(x11)
SUM377_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM377_IN_GGGGA(x1, x2, x3, x4)
U87_GGGGA(x1, x2, x3, x4, x5, x6)  =  U87_GGGGA(x6)
U88_GGGGA(x1, x2, x3, x4, x5)  =  U88_GGGGA(x5)
SUM385_IN_GGGA(x1, x2, x3, x4)  =  SUM385_IN_GGGA(x1, x2, x3)
U89_GGGA(x1, x2, x3, x4, x5, x6)  =  U89_GGGA(x6)
U90_GGGA(x1, x2, x3, x4, x5)  =  U90_GGGA(x5)
U86_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_GGGGGGGGGA(x10)
U197_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_GGGGGGGGA(x9)
U198_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_GGGGGGGGA(x9)
U199_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_GGGGGGGGA(x9)
U200_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_GGGGGGGGA(x9)
U201_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_GGGGGGGGA(x9)
U202_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_GGGGGGGGA(x9)
U82_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_GGGGGGGGA(x9)
U83_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_GGGGGGGGA(x9)
U191_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_GGGGGGGA(x8)
U192_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_GGGGGGGA(x8)
U193_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_GGGGGGGA(x8)
U194_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_GGGGGGGA(x8)
U195_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_GGGGGGGA(x8)
U77_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_GGGGGGGA(x8)
U78_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_GGGGGGGA(x8)
U79_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_GGGGGGGA(x8)
U186_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U186_GGGGGGA(x7)
U187_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U187_GGGGGGA(x7)
U188_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U188_GGGGGGA(x7)
U189_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U189_GGGGGGA(x7)
U71_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U71_GGGGGGA(x7)
U72_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U72_GGGGGGA(x7)
U73_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U73_GGGGGGA(x7)
U74_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U74_GGGGGGA(x7)
U182_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U182_GGGGGA(x6)
U183_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U183_GGGGGA(x6)
U184_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U184_GGGGGA(x6)
U64_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U64_GGGGGA(x6)
U65_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U65_GGGGGA(x6)
U66_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U66_GGGGGA(x6)
U67_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U67_GGGGGA(x6)
U68_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U68_GGGGGA(x6)
U179_GGGGA(x1, x2, x3, x4, x5)  =  U179_GGGGA(x5)
U180_GGGGA(x1, x2, x3, x4, x5)  =  U180_GGGGA(x5)
U56_GGGGA(x1, x2, x3, x4, x5)  =  U56_GGGGA(x5)
U57_GGGGA(x1, x2, x3, x4, x5)  =  U57_GGGGA(x5)
U58_GGGGA(x1, x2, x3, x4, x5)  =  U58_GGGGA(x5)
U59_GGGGA(x1, x2, x3, x4, x5)  =  U59_GGGGA(x5)
U60_GGGGA(x1, x2, x3, x4, x5)  =  U60_GGGGA(x5)
U61_GGGGA(x1, x2, x3, x4, x5)  =  U61_GGGGA(x5)
U171_GGGA(x1, x2, x3, x4, x5)  =  U171_GGGA(x5)
U172_GGGA(x1, x2, x3, x4, x5)  =  U172_GGGA(x5)
U173_GGGA(x1, x2, x3, x4, x5)  =  U173_GGGA(x5)
U174_GGGA(x1, x2, x3, x4, x5)  =  U174_GGGA(x5)
U175_GGGA(x1, x2, x3, x4, x5)  =  U175_GGGA(x5)
U176_GGGA(x1, x2, x3, x4, x5)  =  U176_GGGA(x5)
U177_GGGA(x1, x2, x3, x4)  =  U177_GGGA(x4)
U5_GGGA(x1, x2, x3, x4, x5)  =  U5_GGGA(x5)
U6_GGGA(x1, x2, x3, x4, x5)  =  U6_GGGA(x5)
U7_GGGA(x1, x2, x3, x4, x5)  =  U7_GGGA(x5)
U8_GGGA(x1, x2, x3, x4, x5)  =  U8_GGGA(x5)
U9_GGGA(x1, x2, x3, x4, x5)  =  U9_GGGA(x5)
U10_GGGA(x1, x2, x3, x4, x5)  =  U10_GGGA(x5)
U11_GGGA(x1, x2, x3, x4)  =  U11_GGGA(x4)
U12_GGGA(x1, x2, x3, x4, x5)  =  U12_GGGA(x5)
U13_GGGA(x1, x2, x3, x4, x5)  =  U13_GGGA(x5)
U14_GGGA(x1, x2, x3, x4, x5)  =  U14_GGGA(x5)
U15_GGGA(x1, x2, x3, x4, x5)  =  U15_GGGA(x5)
U16_GGGA(x1, x2, x3, x4, x5)  =  U16_GGGA(x5)
U17_GGGA(x1, x2, x3, x4, x5)  =  U17_GGGA(x5)
U18_GGGA(x1, x2, x3, x4)  =  U18_GGGA(x4)
U19_GGGA(x1, x2, x3, x4, x5)  =  U19_GGGA(x5)
U20_GGGA(x1, x2, x3, x4, x5)  =  U20_GGGA(x5)
U21_GGGA(x1, x2, x3, x4, x5)  =  U21_GGGA(x5)
U22_GGGA(x1, x2, x3, x4, x5)  =  U22_GGGA(x5)
U23_GGGA(x1, x2, x3, x4, x5)  =  U23_GGGA(x5)
U24_GGGA(x1, x2, x3, x4, x5)  =  U24_GGGA(x5)
U25_GGGA(x1, x2, x3, x4)  =  U25_GGGA(x4)
U26_GGGA(x1, x2, x3, x4, x5)  =  U26_GGGA(x5)
U27_GGGA(x1, x2, x3, x4, x5)  =  U27_GGGA(x5)
U28_GGGA(x1, x2, x3, x4, x5)  =  U28_GGGA(x5)
U29_GGGA(x1, x2, x3, x4, x5)  =  U29_GGGA(x5)
U30_GGGA(x1, x2, x3, x4, x5)  =  U30_GGGA(x5)
U31_GGGA(x1, x2, x3, x4, x5)  =  U31_GGGA(x5)
U32_GGGA(x1, x2, x3, x4)  =  U32_GGGA(x4)
U33_GGGA(x1, x2, x3, x4, x5)  =  U33_GGGA(x5)
U34_GGGA(x1, x2, x3, x4, x5)  =  U34_GGGA(x5)
U35_GGGA(x1, x2, x3, x4, x5)  =  U35_GGGA(x5)
U36_GGGA(x1, x2, x3, x4, x5)  =  U36_GGGA(x5)
U37_GGGA(x1, x2, x3, x4, x5)  =  U37_GGGA(x5)
U38_GGGA(x1, x2, x3, x4, x5)  =  U38_GGGA(x5)
U39_GGGA(x1, x2, x3, x4)  =  U39_GGGA(x4)
U40_GGGA(x1, x2, x3, x4, x5)  =  U40_GGGA(x5)
U41_GGGA(x1, x2, x3, x4, x5)  =  U41_GGGA(x5)
U42_GGGA(x1, x2, x3, x4, x5)  =  U42_GGGA(x5)
U43_GGGA(x1, x2, x3, x4, x5)  =  U43_GGGA(x5)
U44_GGGA(x1, x2, x3, x4, x5)  =  U44_GGGA(x5)
U45_GGGA(x1, x2, x3, x4, x5)  =  U45_GGGA(x5)
U46_GGGA(x1, x2, x3, x4)  =  U46_GGGA(x4)
U47_GGGA(x1, x2, x3, x4, x5)  =  U47_GGGA(x5)
U48_GGGA(x1, x2, x3, x4, x5)  =  U48_GGGA(x5)
U49_GGGA(x1, x2, x3, x4, x5)  =  U49_GGGA(x5)
U50_GGGA(x1, x2, x3, x4, x5)  =  U50_GGGA(x5)
U51_GGGA(x1, x2, x3, x4, x5)  =  U51_GGGA(x5)
U52_GGGA(x1, x2, x3, x4, x5)  =  U52_GGGA(x5)
U53_GGGA(x1, x2, x3, x4)  =  U53_GGGA(x4)
U204_GGGA(x1, x2, x3, x4)  =  U204_GGGA(x4)
SUM1253_IN_GGA(x1, x2, x3)  =  SUM1253_IN_GGA(x1, x2)
U93_GGA(x1, x2, x3, x4)  =  U93_GGA(x4)
U94_GGA(x1, x2, x3, x4)  =  U94_GGA(x4)
U95_GGA(x1, x2, x3, x4)  =  U95_GGA(x4)
U96_GGA(x1, x2, x3, x4)  =  U96_GGA(x4)
U97_GGA(x1, x2, x3, x4)  =  U97_GGA(x4)
U98_GGA(x1, x2, x3, x4)  =  U98_GGA(x4)
U99_GGA(x1, x2, x3, x4)  =  U99_GGA(x4)
U100_GGA(x1, x2, x3, x4)  =  U100_GGA(x4)
U101_GGA(x1, x2, x3)  =  U101_GGA(x3)
SUM1335_IN_GGA(x1, x2, x3)  =  SUM1335_IN_GGA(x1, x2)
U91_GGA(x1, x2, x3, x4, x5)  =  U91_GGA(x5)
U92_GGA(x1, x2, x3, x4)  =  U92_GGA(x4)
U205_GGGA(x1, x2, x3, x4)  =  U205_GGGA(x4)
SUM1373_IN_GGA(x1, x2, x3)  =  SUM1373_IN_GGA(x1, x2)
U104_GGA(x1, x2, x3, x4)  =  U104_GGA(x4)
U105_GGA(x1, x2, x3, x4)  =  U105_GGA(x4)
U106_GGA(x1, x2, x3, x4)  =  U106_GGA(x4)
U107_GGA(x1, x2, x3, x4)  =  U107_GGA(x4)
U108_GGA(x1, x2, x3, x4)  =  U108_GGA(x4)
U109_GGA(x1, x2, x3, x4)  =  U109_GGA(x4)
U110_GGA(x1, x2, x3, x4)  =  U110_GGA(x4)
U111_GGA(x1, x2, x3, x4)  =  U111_GGA(x4)
U112_GGA(x1, x2, x3)  =  U112_GGA(x3)
SUM1447_IN_GGA(x1, x2, x3)  =  SUM1447_IN_GGA(x1, x2)
U102_GGA(x1, x2, x3, x4, x5)  =  U102_GGA(x5)
U103_GGA(x1, x2, x3, x4)  =  U103_GGA(x4)
U206_GGGA(x1, x2, x3, x4)  =  U206_GGGA(x4)
SUM1485_IN_GGA(x1, x2, x3)  =  SUM1485_IN_GGA(x1, x2)
U115_GGA(x1, x2, x3, x4)  =  U115_GGA(x4)
U116_GGA(x1, x2, x3, x4)  =  U116_GGA(x4)
U117_GGA(x1, x2, x3, x4)  =  U117_GGA(x4)
U118_GGA(x1, x2, x3, x4)  =  U118_GGA(x4)
U119_GGA(x1, x2, x3, x4)  =  U119_GGA(x4)
U120_GGA(x1, x2, x3, x4)  =  U120_GGA(x4)
U121_GGA(x1, x2, x3, x4)  =  U121_GGA(x4)
U122_GGA(x1, x2, x3, x4)  =  U122_GGA(x4)
U123_GGA(x1, x2, x3)  =  U123_GGA(x3)
SUM1559_IN_GGA(x1, x2, x3)  =  SUM1559_IN_GGA(x1, x2)
U113_GGA(x1, x2, x3, x4, x5)  =  U113_GGA(x5)
U114_GGA(x1, x2, x3, x4)  =  U114_GGA(x4)
U207_GGGA(x1, x2, x3, x4)  =  U207_GGGA(x4)
SUM1597_IN_GGA(x1, x2, x3)  =  SUM1597_IN_GGA(x1, x2)
U126_GGA(x1, x2, x3, x4)  =  U126_GGA(x4)
U127_GGA(x1, x2, x3, x4)  =  U127_GGA(x4)
U128_GGA(x1, x2, x3, x4)  =  U128_GGA(x4)
U129_GGA(x1, x2, x3, x4)  =  U129_GGA(x4)
U130_GGA(x1, x2, x3, x4)  =  U130_GGA(x4)
U131_GGA(x1, x2, x3, x4)  =  U131_GGA(x4)
U132_GGA(x1, x2, x3, x4)  =  U132_GGA(x4)
U133_GGA(x1, x2, x3, x4)  =  U133_GGA(x4)
U134_GGA(x1, x2, x3)  =  U134_GGA(x3)
SUM1671_IN_GGA(x1, x2, x3)  =  SUM1671_IN_GGA(x1, x2)
U124_GGA(x1, x2, x3, x4, x5)  =  U124_GGA(x5)
U125_GGA(x1, x2, x3, x4)  =  U125_GGA(x4)
U208_GGGA(x1, x2, x3, x4)  =  U208_GGGA(x4)
SUM1709_IN_GGA(x1, x2, x3)  =  SUM1709_IN_GGA(x1, x2)
U137_GGA(x1, x2, x3, x4)  =  U137_GGA(x4)
U138_GGA(x1, x2, x3, x4)  =  U138_GGA(x4)
U139_GGA(x1, x2, x3, x4)  =  U139_GGA(x4)
U140_GGA(x1, x2, x3, x4)  =  U140_GGA(x4)
U141_GGA(x1, x2, x3, x4)  =  U141_GGA(x4)
U142_GGA(x1, x2, x3, x4)  =  U142_GGA(x4)
U143_GGA(x1, x2, x3, x4)  =  U143_GGA(x4)
U144_GGA(x1, x2, x3, x4)  =  U144_GGA(x4)
U145_GGA(x1, x2, x3)  =  U145_GGA(x3)
SUM1783_IN_GGA(x1, x2, x3)  =  SUM1783_IN_GGA(x1, x2)
U135_GGA(x1, x2, x3, x4, x5)  =  U135_GGA(x5)
U136_GGA(x1, x2, x3, x4)  =  U136_GGA(x4)
U209_GGGA(x1, x2, x3, x4)  =  U209_GGGA(x4)
SUM1821_IN_GGA(x1, x2, x3)  =  SUM1821_IN_GGA(x1, x2)
U148_GGA(x1, x2, x3, x4)  =  U148_GGA(x4)
U149_GGA(x1, x2, x3, x4)  =  U149_GGA(x4)
U150_GGA(x1, x2, x3, x4)  =  U150_GGA(x4)
U151_GGA(x1, x2, x3, x4)  =  U151_GGA(x4)
U152_GGA(x1, x2, x3, x4)  =  U152_GGA(x4)
U153_GGA(x1, x2, x3, x4)  =  U153_GGA(x4)
U154_GGA(x1, x2, x3, x4)  =  U154_GGA(x4)
U155_GGA(x1, x2, x3, x4)  =  U155_GGA(x4)
U156_GGA(x1, x2, x3)  =  U156_GGA(x3)
SUM1895_IN_GGA(x1, x2, x3)  =  SUM1895_IN_GGA(x1, x2)
U146_GGA(x1, x2, x3, x4, x5)  =  U146_GGA(x5)
U147_GGA(x1, x2, x3, x4)  =  U147_GGA(x4)
U210_GGGA(x1, x2, x3, x4)  =  U210_GGGA(x4)
SUM1933_IN_GGA(x1, x2, x3)  =  SUM1933_IN_GGA(x1, x2)
U159_GGA(x1, x2, x3, x4)  =  U159_GGA(x4)
U160_GGA(x1, x2, x3, x4)  =  U160_GGA(x4)
U161_GGA(x1, x2, x3, x4)  =  U161_GGA(x4)
U162_GGA(x1, x2, x3, x4)  =  U162_GGA(x4)
U163_GGA(x1, x2, x3, x4)  =  U163_GGA(x4)
U164_GGA(x1, x2, x3, x4)  =  U164_GGA(x4)
U165_GGA(x1, x2, x3, x4)  =  U165_GGA(x4)
U166_GGA(x1, x2, x3, x4)  =  U166_GGA(x4)
U167_GGA(x1, x2, x3)  =  U167_GGA(x3)
SUM2007_IN_GGA(x1, x2, x3)  =  SUM2007_IN_GGA(x1, x2)
U157_GGA(x1, x2, x3, x4, x5)  =  U157_GGA(x5)
U158_GGA(x1, x2, x3, x4)  =  U158_GGA(x4)
U221_GA(x1, x2, x3, x4, x5)  =  U221_GA(x5)
U222_GA(x1, x2, x3, x4, x5)  =  U222_GA(x5)
U223_GA(x1, x2, x3, x4)  =  U223_GA(x4)
SUM2047_IN_GGA(x1, x2, x3)  =  SUM2047_IN_GGA(x1, x2)
U211_GGA(x1, x2, x3, x4)  =  U211_GGA(x4)
U212_GGA(x1, x2, x3, x4)  =  U212_GGA(x4)
U213_GGA(x1, x2, x3, x4)  =  U213_GGA(x4)
U214_GGA(x1, x2, x3, x4)  =  U214_GGA(x4)
U215_GGA(x1, x2, x3, x4)  =  U215_GGA(x4)
U216_GGA(x1, x2, x3, x4)  =  U216_GGA(x4)
U217_GGA(x1, x2, x3, x4)  =  U217_GGA(x4)
U218_GGA(x1, x2, x3, x4)  =  U218_GGA(x4)
U219_GGA(x1, x2, x3)  =  U219_GGA(x3)
SUM2121_IN_GGA(x1, x2, x3)  =  SUM2121_IN_GGA(x1, x2)
U168_GGA(x1, x2, x3, x4, x5)  =  U168_GGA(x5)
U169_GGA(x1, x2, x3, x4)  =  U169_GGA(x4)
U224_GA(x1, x2, x3, x4)  =  U224_GA(x4)
U225_GA(x1, x2, x3, x4)  =  U225_GA(x4)

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

(6) Obligation:

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

WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U220_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → SUM10_IN_GGGA(T24, T25, T26, X43)
SUM10_IN_GGGA(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_GGGA(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
SUM10_IN_GGGA(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → SUM47_IN_GGGGA(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)
SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → U1_GGGGA(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → SUM47_IN_GGGGA(T181, T182, T183, s(T184), X383)
SUM47_IN_GGGGA(0, T201, T202, T203, X414) → U2_GGGGA(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
SUM47_IN_GGGGA(0, T201, T202, T203, X414) → SUM55_IN_GGGA(T201, T202, T203, X414)
SUM55_IN_GGGA(s(T219), T220, T221, X453) → U3_GGGA(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
SUM55_IN_GGGA(s(T219), T220, T221, X453) → SUM55_IN_GGGA(T219, T220, s(T221), X453)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_GGGA(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → SUM101_IN_GGGA(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)
SUM101_IN_GGGA(s(T380), T381, T382, X816) → U170_GGGA(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
SUM101_IN_GGGA(s(T380), T381, T382, X816) → SUM107_IN_GGGGA(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)
SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → U54_GGGGA(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → SUM107_IN_GGGGA(T407, T408, s(T409), T410, X863)
SUM107_IN_GGGGA(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_GGGGA(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
SUM107_IN_GGGGA(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → SUM147_IN_GGGGA(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)
SUM147_IN_GGGGA(s(s(T623)), T624, T625, T626, X1226) → U178_GGGGA(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
SUM147_IN_GGGGA(s(s(T623)), T624, T625, T626, X1226) → SUM158_IN_GGGGGA(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)
SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → U62_GGGGGA(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661, X1273)
SUM158_IN_GGGGGA(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_GGGGGA(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
SUM158_IN_GGGGGA(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → SUM193_IN_GGGGGA(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)
SUM193_IN_GGGGGA(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_GGGGGA(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
SUM193_IN_GGGGGA(s(s(s(T928))), T929, T930, T931, T932, X1636) → SUM209_IN_GGGGGGA(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)
SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → U69_GGGGGGA(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974, X1683)
SUM209_IN_GGGGGGA(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_GGGGGGA(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
SUM209_IN_GGGGGGA(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → SUM239_IN_GGGGGGA(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)
SUM239_IN_GGGGGGA(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_GGGGGGA(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
SUM239_IN_GGGGGGA(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → SUM260_IN_GGGGGGGA(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)
SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_GGGGGGGA(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)
SUM260_IN_GGGGGGGA(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_GGGGGGGA(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
SUM260_IN_GGGGGGGA(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → SUM285_IN_GGGGGGGA(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)
SUM285_IN_GGGGGGGA(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_GGGGGGGA(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
SUM285_IN_GGGGGGGA(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → SUM311_IN_GGGGGGGGA(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)
SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_GGGGGGGGA(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)
SUM311_IN_GGGGGGGGA(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_GGGGGGGGA(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
SUM311_IN_GGGGGGGGA(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → SUM331_IN_GGGGGGGGA(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)
SUM331_IN_GGGGGGGGA(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_GGGGGGGGA(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
SUM331_IN_GGGGGGGGA(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → SUM362_IN_GGGGGGGGGA(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)
SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_GGGGGGGGGA(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)
SUM362_IN_GGGGGGGGGA(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_GGGGGGGGGA(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
SUM362_IN_GGGGGGGGGA(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → SUM377_IN_GGGGA(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → U87_GGGGA(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423, X3030)
SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → U88_GGGGA(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → SUM385_IN_GGGA(T2440, T2441, T2442, X3061)
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → U89_GGGA(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466, X3100)
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → U90_GGGA(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → SUM385_IN_GGGA(T2483, T2484, T2485, X3131)
SUM362_IN_GGGGGGGGGA(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_GGGGGGGGGA(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
SUM362_IN_GGGGGGGGGA(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → SUM385_IN_GGGA(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)
SUM331_IN_GGGGGGGGA(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_GGGGGGGGA(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
SUM331_IN_GGGGGGGGA(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → SUM385_IN_GGGA(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)
SUM331_IN_GGGGGGGGA(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_GGGGGGGGA(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
SUM331_IN_GGGGGGGGA(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → SUM385_IN_GGGA(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)
SUM331_IN_GGGGGGGGA(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_GGGGGGGGA(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
SUM331_IN_GGGGGGGGA(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → SUM385_IN_GGGA(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)
SUM331_IN_GGGGGGGGA(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_GGGGGGGGA(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
SUM331_IN_GGGGGGGGA(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → SUM385_IN_GGGA(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)
SUM331_IN_GGGGGGGGA(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_GGGGGGGGA(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
SUM331_IN_GGGGGGGGA(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → SUM385_IN_GGGA(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)
SUM331_IN_GGGGGGGGA(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_GGGGGGGGA(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
SUM331_IN_GGGGGGGGA(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → SUM385_IN_GGGA(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)
SUM311_IN_GGGGGGGGA(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_GGGGGGGGA(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
SUM311_IN_GGGGGGGGA(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → SUM385_IN_GGGA(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)
SUM311_IN_GGGGGGGGA(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_GGGGGGGGA(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
SUM311_IN_GGGGGGGGA(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → SUM385_IN_GGGA(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)
SUM285_IN_GGGGGGGA(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_GGGGGGGA(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
SUM285_IN_GGGGGGGA(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → SUM385_IN_GGGA(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)
SUM285_IN_GGGGGGGA(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_GGGGGGGA(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
SUM285_IN_GGGGGGGA(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → SUM385_IN_GGGA(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)
SUM285_IN_GGGGGGGA(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_GGGGGGGA(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
SUM285_IN_GGGGGGGA(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → SUM385_IN_GGGA(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)
SUM285_IN_GGGGGGGA(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_GGGGGGGA(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
SUM285_IN_GGGGGGGA(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → SUM385_IN_GGGA(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)
SUM285_IN_GGGGGGGA(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_GGGGGGGA(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
SUM285_IN_GGGGGGGA(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → SUM385_IN_GGGA(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)
SUM260_IN_GGGGGGGA(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_GGGGGGGA(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
SUM260_IN_GGGGGGGA(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → SUM385_IN_GGGA(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)
SUM260_IN_GGGGGGGA(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_GGGGGGGA(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
SUM260_IN_GGGGGGGA(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → SUM385_IN_GGGA(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)
SUM260_IN_GGGGGGGA(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_GGGGGGGA(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
SUM260_IN_GGGGGGGA(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → SUM385_IN_GGGA(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)
SUM239_IN_GGGGGGA(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_GGGGGGA(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
SUM239_IN_GGGGGGA(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → SUM385_IN_GGGA(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)
SUM239_IN_GGGGGGA(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_GGGGGGA(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
SUM239_IN_GGGGGGA(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → SUM385_IN_GGGA(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)
SUM239_IN_GGGGGGA(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_GGGGGGA(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
SUM239_IN_GGGGGGA(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → SUM385_IN_GGGA(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)
SUM239_IN_GGGGGGA(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_GGGGGGA(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
SUM239_IN_GGGGGGA(0, T3352, T3353, T3354, T3355, T3356, X3777) → SUM385_IN_GGGA(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)
SUM209_IN_GGGGGGA(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_GGGGGGA(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
SUM209_IN_GGGGGGA(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → SUM385_IN_GGGA(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)
SUM209_IN_GGGGGGA(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_GGGGGGA(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
SUM209_IN_GGGGGGA(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → SUM385_IN_GGGA(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)
SUM209_IN_GGGGGGA(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_GGGGGGA(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
SUM209_IN_GGGGGGA(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → SUM385_IN_GGGA(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)
SUM209_IN_GGGGGGA(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_GGGGGGA(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
SUM209_IN_GGGGGGA(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → SUM385_IN_GGGA(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)
SUM193_IN_GGGGGA(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_GGGGGA(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
SUM193_IN_GGGGGA(s(s(0)), T3515, T3516, T3517, T3518, X3931) → SUM385_IN_GGGA(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)
SUM193_IN_GGGGGA(s(0), T3540, T3541, T3542, T3543, X3961) → U183_GGGGGA(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
SUM193_IN_GGGGGA(s(0), T3540, T3541, T3542, T3543, X3961) → SUM385_IN_GGGA(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)
SUM193_IN_GGGGGA(0, T3565, T3566, T3567, T3568, X3991) → U184_GGGGGA(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
SUM193_IN_GGGGGA(0, T3565, T3566, T3567, T3568, X3991) → SUM385_IN_GGGA(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)
SUM158_IN_GGGGGA(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_GGGGGA(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
SUM158_IN_GGGGGA(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → SUM385_IN_GGGA(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)
SUM158_IN_GGGGGA(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_GGGGGA(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
SUM158_IN_GGGGGA(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → SUM385_IN_GGGA(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)
SUM158_IN_GGGGGA(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_GGGGGA(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
SUM158_IN_GGGGGA(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → SUM385_IN_GGGA(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)
SUM158_IN_GGGGGA(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_GGGGGA(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
SUM158_IN_GGGGGA(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → SUM385_IN_GGGA(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)
SUM158_IN_GGGGGA(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_GGGGGA(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
SUM158_IN_GGGGGA(0, .(0, T3690), T3691, T3692, T3693, X4141) → SUM385_IN_GGGA(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)
SUM147_IN_GGGGA(s(0), T3720, T3721, T3722, X4175) → U179_GGGGA(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
SUM147_IN_GGGGA(s(0), T3720, T3721, T3722, X4175) → SUM385_IN_GGGA(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)
SUM147_IN_GGGGA(0, T3739, T3740, T3741, X4205) → U180_GGGGA(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
SUM147_IN_GGGGA(0, T3739, T3740, T3741, X4205) → SUM385_IN_GGGA(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)
SUM107_IN_GGGGA(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_GGGGA(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
SUM107_IN_GGGGA(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → SUM385_IN_GGGA(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)
SUM107_IN_GGGGA(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_GGGGA(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
SUM107_IN_GGGGA(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → SUM385_IN_GGGA(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)
SUM107_IN_GGGGA(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_GGGGA(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
SUM107_IN_GGGGA(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → SUM385_IN_GGGA(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)
SUM107_IN_GGGGA(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_GGGGA(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
SUM107_IN_GGGGA(0, .(s(s(0)), T3815), T3816, T3817, X4325) → SUM385_IN_GGGA(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)
SUM107_IN_GGGGA(0, .(s(0), T3834), T3835, T3836, X4355) → U60_GGGGA(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
SUM107_IN_GGGGA(0, .(s(0), T3834), T3835, T3836, X4355) → SUM385_IN_GGGA(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)
SUM107_IN_GGGGA(0, .(0, T3853), T3854, T3855, X4385) → U61_GGGGA(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
SUM107_IN_GGGGA(0, .(0, T3853), T3854, T3855, X4385) → SUM385_IN_GGGA(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)
SUM101_IN_GGGA(0, .(s(T3891), T3892), T3893, X4458) → U171_GGGA(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
SUM101_IN_GGGA(0, .(s(T3891), T3892), T3893, X4458) → SUM385_IN_GGGA(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)
SUM101_IN_GGGA(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_GGGA(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
SUM101_IN_GGGA(0, .(0, .(s(T3922), T3923)), T3924, X4528) → SUM385_IN_GGGA(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)
SUM101_IN_GGGA(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_GGGA(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
SUM101_IN_GGGA(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → SUM385_IN_GGGA(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_GGGA(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → SUM385_IN_GGGA(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_GGGA(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → SUM385_IN_GGGA(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_GGGA(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → SUM385_IN_GGGA(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_GGGA(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → SUM385_IN_GGGA(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_GGGA(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → SUM385_IN_GGGA(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_GGGA(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → SUM385_IN_GGGA(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_GGGA(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → SUM385_IN_GGGA(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_GGGA(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → SUM385_IN_GGGA(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_GGGA(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → SUM385_IN_GGGA(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_GGGA(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → SUM385_IN_GGGA(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_GGGA(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → SUM385_IN_GGGA(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_GGGA(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → SUM385_IN_GGGA(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_GGGA(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → SUM385_IN_GGGA(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_GGGA(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → SUM385_IN_GGGA(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_GGGA(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → SUM385_IN_GGGA(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_GGGA(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → SUM385_IN_GGGA(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_GGGA(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → SUM385_IN_GGGA(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_GGGA(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → SUM385_IN_GGGA(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_GGGA(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → SUM385_IN_GGGA(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_GGGA(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → SUM385_IN_GGGA(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_GGGA(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → SUM385_IN_GGGA(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_GGGA(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → SUM385_IN_GGGA(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_GGGA(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → SUM385_IN_GGGA(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_GGGA(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → SUM385_IN_GGGA(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_GGGA(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → SUM385_IN_GGGA(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_GGGA(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → SUM385_IN_GGGA(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_GGGA(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → SUM385_IN_GGGA(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_GGGA(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → SUM385_IN_GGGA(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_GGGA(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → SUM385_IN_GGGA(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_GGGA(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → SUM385_IN_GGGA(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_GGGA(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → SUM385_IN_GGGA(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_GGGA(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → SUM385_IN_GGGA(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)
SUM55_IN_GGGA(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_GGGA(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
SUM55_IN_GGGA(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → SUM385_IN_GGGA(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_GGGA(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → SUM385_IN_GGGA(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_GGGA(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → SUM385_IN_GGGA(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_GGGA(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → SUM385_IN_GGGA(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_GGGA(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → SUM385_IN_GGGA(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_GGGA(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → SUM385_IN_GGGA(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_GGGA(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → SUM385_IN_GGGA(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)
SUM55_IN_GGGA(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_GGGA(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
SUM55_IN_GGGA(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → SUM385_IN_GGGA(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)
SUM55_IN_GGGA(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_GGGA(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
SUM55_IN_GGGA(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → SUM385_IN_GGGA(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_GGGA(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → SUM385_IN_GGGA(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_GGGA(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → SUM385_IN_GGGA(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_GGGA(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → SUM385_IN_GGGA(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_GGGA(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → SUM385_IN_GGGA(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_GGGA(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → SUM385_IN_GGGA(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)
SUM55_IN_GGGA(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_GGGA(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
SUM55_IN_GGGA(0, .(0, .(s(T5445), T5446)), T5447, X7818) → SUM385_IN_GGGA(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)
SUM55_IN_GGGA(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_GGGA(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
SUM55_IN_GGGA(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → SUM385_IN_GGGA(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_GGGA(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → SUM385_IN_GGGA(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_GGGA(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → SUM385_IN_GGGA(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_GGGA(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → SUM385_IN_GGGA(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_GGGA(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → SUM385_IN_GGGA(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_GGGA(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → SUM385_IN_GGGA(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)
SUM10_IN_GGGA(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_GGGA(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
SUM10_IN_GGGA(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → SUM1253_IN_GGA(T5653, T5654, X8264)
SUM1253_IN_GGA(s(T5665), T5666, X8303) → U93_GGA(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
SUM1253_IN_GGA(s(T5665), T5666, X8303) → SUM55_IN_GGGA(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)
SUM1253_IN_GGA(0, .(s(T5688), T5689), X8379) → U94_GGA(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
SUM1253_IN_GGA(0, .(s(T5688), T5689), X8379) → SUM385_IN_GGGA(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)
SUM1253_IN_GGA(0, .(0, .(s(T5711), T5712)), X8455) → U95_GGA(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
SUM1253_IN_GGA(0, .(0, .(s(T5711), T5712)), X8455) → SUM385_IN_GGGA(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)
SUM1253_IN_GGA(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_GGA(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
SUM1253_IN_GGA(0, .(0, .(0, .(s(T5734), T5735))), X8531) → SUM385_IN_GGGA(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_GGA(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → SUM385_IN_GGGA(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_GGA(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → SUM385_IN_GGGA(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_GGA(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → SUM385_IN_GGGA(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_GGA(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → SUM385_IN_GGGA(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_GGA(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → SUM1335_IN_GGA(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
SUM1335_IN_GGA(.(s(T5859), T5860), T5861, X8917) → U91_GGA(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
SUM1335_IN_GGA(.(s(T5859), T5860), T5861, X8917) → SUM385_IN_GGGA(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)
SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → U92_GGA(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → SUM1335_IN_GGA(T5873, T5874, X8948)
SUM10_IN_GGGA(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_GGGA(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
SUM10_IN_GGGA(s(s(s(s(s(0))))), T5889, T5890, X9011) → SUM1373_IN_GGA(T5889, T5890, X9011)
SUM1373_IN_GGA(s(T5901), T5902, X9050) → U104_GGA(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
SUM1373_IN_GGA(s(T5901), T5902, X9050) → SUM1253_IN_GGA(T5901, T5902, X9050)
SUM1373_IN_GGA(0, .(s(T5920), T5921), X9120) → U105_GGA(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
SUM1373_IN_GGA(0, .(s(T5920), T5921), X9120) → SUM1335_IN_GGA(.(T5920, T5921), .(s(T5920), T5921), X9120)
SUM1373_IN_GGA(0, .(0, .(s(T5939), T5940)), X9190) → U106_GGA(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
SUM1373_IN_GGA(0, .(0, .(s(T5939), T5940)), X9190) → SUM1335_IN_GGA(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)
SUM1373_IN_GGA(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_GGA(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
SUM1373_IN_GGA(0, .(0, .(0, .(s(T5958), T5959))), X9260) → SUM1335_IN_GGA(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_GGA(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → SUM1335_IN_GGA(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_GGA(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → SUM1335_IN_GGA(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_GGA(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → SUM1335_IN_GGA(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_GGA(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → SUM1335_IN_GGA(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_GGA(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → SUM1447_IN_GGA(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
SUM1447_IN_GGA(.(s(T6061), T6062), T6063, X9616) → U102_GGA(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
SUM1447_IN_GGA(.(s(T6061), T6062), T6063, X9616) → SUM1335_IN_GGA(.(T6061, T6062), T6063, X9616)
SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → U103_GGA(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → SUM1447_IN_GGA(T6075, T6076, X9647)
SUM10_IN_GGGA(s(s(s(s(0)))), T6091, T6092, X9710) → U206_GGGA(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
SUM10_IN_GGGA(s(s(s(s(0)))), T6091, T6092, X9710) → SUM1485_IN_GGA(T6091, T6092, X9710)
SUM1485_IN_GGA(s(T6103), T6104, X9749) → U115_GGA(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
SUM1485_IN_GGA(s(T6103), T6104, X9749) → SUM1373_IN_GGA(T6103, T6104, X9749)
SUM1485_IN_GGA(0, .(s(T6122), T6123), X9819) → U116_GGA(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
SUM1485_IN_GGA(0, .(s(T6122), T6123), X9819) → SUM1447_IN_GGA(.(T6122, T6123), .(s(T6122), T6123), X9819)
SUM1485_IN_GGA(0, .(0, .(s(T6141), T6142)), X9889) → U117_GGA(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
SUM1485_IN_GGA(0, .(0, .(s(T6141), T6142)), X9889) → SUM1447_IN_GGA(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)
SUM1485_IN_GGA(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_GGA(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
SUM1485_IN_GGA(0, .(0, .(0, .(s(T6160), T6161))), X9959) → SUM1447_IN_GGA(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_GGA(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → SUM1447_IN_GGA(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_GGA(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → SUM1447_IN_GGA(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_GGA(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → SUM1447_IN_GGA(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_GGA(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → SUM1447_IN_GGA(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_GGA(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → SUM1559_IN_GGA(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
SUM1559_IN_GGA(.(s(T6263), T6264), T6265, X10315) → U113_GGA(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
SUM1559_IN_GGA(.(s(T6263), T6264), T6265, X10315) → SUM1447_IN_GGA(.(T6263, T6264), T6265, X10315)
SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → U114_GGA(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → SUM1559_IN_GGA(T6277, T6278, X10346)
SUM10_IN_GGGA(s(s(s(0))), T6293, T6294, X10409) → U207_GGGA(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
SUM10_IN_GGGA(s(s(s(0))), T6293, T6294, X10409) → SUM1597_IN_GGA(T6293, T6294, X10409)
SUM1597_IN_GGA(s(T6305), T6306, X10448) → U126_GGA(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
SUM1597_IN_GGA(s(T6305), T6306, X10448) → SUM1485_IN_GGA(T6305, T6306, X10448)
SUM1597_IN_GGA(0, .(s(T6324), T6325), X10518) → U127_GGA(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
SUM1597_IN_GGA(0, .(s(T6324), T6325), X10518) → SUM1559_IN_GGA(.(T6324, T6325), .(s(T6324), T6325), X10518)
SUM1597_IN_GGA(0, .(0, .(s(T6343), T6344)), X10588) → U128_GGA(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
SUM1597_IN_GGA(0, .(0, .(s(T6343), T6344)), X10588) → SUM1559_IN_GGA(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)
SUM1597_IN_GGA(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_GGA(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
SUM1597_IN_GGA(0, .(0, .(0, .(s(T6362), T6363))), X10658) → SUM1559_IN_GGA(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_GGA(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → SUM1559_IN_GGA(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_GGA(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → SUM1559_IN_GGA(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_GGA(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → SUM1559_IN_GGA(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_GGA(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → SUM1559_IN_GGA(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_GGA(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → SUM1671_IN_GGA(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
SUM1671_IN_GGA(.(s(T6465), T6466), T6467, X11014) → U124_GGA(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
SUM1671_IN_GGA(.(s(T6465), T6466), T6467, X11014) → SUM1559_IN_GGA(.(T6465, T6466), T6467, X11014)
SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → U125_GGA(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → SUM1671_IN_GGA(T6479, T6480, X11045)
SUM10_IN_GGGA(s(s(0)), T6495, T6496, X11108) → U208_GGGA(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
SUM10_IN_GGGA(s(s(0)), T6495, T6496, X11108) → SUM1709_IN_GGA(T6495, T6496, X11108)
SUM1709_IN_GGA(s(T6507), T6508, X11147) → U137_GGA(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
SUM1709_IN_GGA(s(T6507), T6508, X11147) → SUM1597_IN_GGA(T6507, T6508, X11147)
SUM1709_IN_GGA(0, .(s(T6526), T6527), X11217) → U138_GGA(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
SUM1709_IN_GGA(0, .(s(T6526), T6527), X11217) → SUM1671_IN_GGA(.(T6526, T6527), .(s(T6526), T6527), X11217)
SUM1709_IN_GGA(0, .(0, .(s(T6545), T6546)), X11287) → U139_GGA(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
SUM1709_IN_GGA(0, .(0, .(s(T6545), T6546)), X11287) → SUM1671_IN_GGA(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)
SUM1709_IN_GGA(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_GGA(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
SUM1709_IN_GGA(0, .(0, .(0, .(s(T6564), T6565))), X11357) → SUM1671_IN_GGA(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_GGA(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → SUM1671_IN_GGA(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_GGA(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → SUM1671_IN_GGA(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_GGA(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → SUM1671_IN_GGA(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_GGA(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → SUM1671_IN_GGA(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_GGA(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → SUM1783_IN_GGA(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
SUM1783_IN_GGA(.(s(T6667), T6668), T6669, X11713) → U135_GGA(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
SUM1783_IN_GGA(.(s(T6667), T6668), T6669, X11713) → SUM1671_IN_GGA(.(T6667, T6668), T6669, X11713)
SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → U136_GGA(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → SUM1783_IN_GGA(T6681, T6682, X11744)
SUM10_IN_GGGA(s(0), T6697, T6698, X11807) → U209_GGGA(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
SUM10_IN_GGGA(s(0), T6697, T6698, X11807) → SUM1821_IN_GGA(T6697, T6698, X11807)
SUM1821_IN_GGA(s(T6709), T6710, X11846) → U148_GGA(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
SUM1821_IN_GGA(s(T6709), T6710, X11846) → SUM1709_IN_GGA(T6709, T6710, X11846)
SUM1821_IN_GGA(0, .(s(T6728), T6729), X11916) → U149_GGA(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
SUM1821_IN_GGA(0, .(s(T6728), T6729), X11916) → SUM1783_IN_GGA(.(T6728, T6729), .(s(T6728), T6729), X11916)
SUM1821_IN_GGA(0, .(0, .(s(T6747), T6748)), X11986) → U150_GGA(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
SUM1821_IN_GGA(0, .(0, .(s(T6747), T6748)), X11986) → SUM1783_IN_GGA(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)
SUM1821_IN_GGA(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_GGA(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
SUM1821_IN_GGA(0, .(0, .(0, .(s(T6766), T6767))), X12056) → SUM1783_IN_GGA(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_GGA(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → SUM1783_IN_GGA(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_GGA(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → SUM1783_IN_GGA(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_GGA(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → SUM1783_IN_GGA(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_GGA(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → SUM1783_IN_GGA(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_GGA(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → SUM1895_IN_GGA(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
SUM1895_IN_GGA(.(s(T6869), T6870), T6871, X12412) → U146_GGA(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
SUM1895_IN_GGA(.(s(T6869), T6870), T6871, X12412) → SUM1783_IN_GGA(.(T6869, T6870), T6871, X12412)
SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → U147_GGA(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → SUM1895_IN_GGA(T6883, T6884, X12443)
SUM10_IN_GGGA(0, T6899, T6900, X12506) → U210_GGGA(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
SUM10_IN_GGGA(0, T6899, T6900, X12506) → SUM1933_IN_GGA(T6899, T6900, X12506)
SUM1933_IN_GGA(s(T6911), T6912, X12545) → U159_GGA(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
SUM1933_IN_GGA(s(T6911), T6912, X12545) → SUM1821_IN_GGA(T6911, T6912, X12545)
SUM1933_IN_GGA(0, .(s(T6930), T6931), X12615) → U160_GGA(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
SUM1933_IN_GGA(0, .(s(T6930), T6931), X12615) → SUM1895_IN_GGA(.(T6930, T6931), .(s(T6930), T6931), X12615)
SUM1933_IN_GGA(0, .(0, .(s(T6949), T6950)), X12685) → U161_GGA(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
SUM1933_IN_GGA(0, .(0, .(s(T6949), T6950)), X12685) → SUM1895_IN_GGA(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)
SUM1933_IN_GGA(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_GGA(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
SUM1933_IN_GGA(0, .(0, .(0, .(s(T6968), T6969))), X12755) → SUM1895_IN_GGA(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_GGA(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → SUM1895_IN_GGA(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_GGA(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → SUM1895_IN_GGA(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_GGA(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → SUM1895_IN_GGA(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_GGA(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → SUM1895_IN_GGA(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_GGA(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → SUM2007_IN_GGA(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
SUM2007_IN_GGA(.(s(T7071), T7072), T7073, X13111) → U157_GGA(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
SUM2007_IN_GGA(.(s(T7071), T7072), T7073, X13111) → SUM1895_IN_GGA(.(T7071, T7072), T7073, X13111)
SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → U158_GGA(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → SUM2007_IN_GGA(T7085, T7086, X13142)
WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U221_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_GA(T24, T25, T26, T11, weight1_in_ga(T30, T11))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30, T11)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U223_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → SUM2047_IN_GGA(T7105, T7106, X13210)
SUM2047_IN_GGA(s(T7120), T7121, X13255) → U211_GGA(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
SUM2047_IN_GGA(s(T7120), T7121, X13255) → SUM1933_IN_GGA(T7120, T7121, X13255)
SUM2047_IN_GGA(0, .(s(T7139), T7140), X13325) → U212_GGA(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
SUM2047_IN_GGA(0, .(s(T7139), T7140), X13325) → SUM2007_IN_GGA(.(T7139, T7140), .(s(T7139), T7140), X13325)
SUM2047_IN_GGA(0, .(0, .(s(T7158), T7159)), X13395) → U213_GGA(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
SUM2047_IN_GGA(0, .(0, .(s(T7158), T7159)), X13395) → SUM2007_IN_GGA(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)
SUM2047_IN_GGA(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_GGA(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
SUM2047_IN_GGA(0, .(0, .(0, .(s(T7177), T7178))), X13465) → SUM2007_IN_GGA(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_GGA(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → SUM2007_IN_GGA(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_GGA(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → SUM2007_IN_GGA(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_GGA(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → SUM2007_IN_GGA(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_GGA(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → SUM2007_IN_GGA(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_GGA(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → SUM2121_IN_GGA(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
SUM2121_IN_GGA(.(s(T7280), T7281), T7282, X13821) → U168_GGA(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
SUM2121_IN_GGA(.(s(T7280), T7281), T7282, X13821) → SUM2007_IN_GGA(.(T7280, T7281), T7282, X13821)
SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → U169_GGA(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → SUM2121_IN_GGA(T7294, T7295, X13852)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U224_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_GA(T7105, T7106, T11, weight1_in_ga(T7109, T11))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → WEIGHT1_IN_GA(T7109, T11)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
WEIGHT1_IN_GA(x1, x2)  =  WEIGHT1_IN_GA(x1)
U220_GA(x1, x2, x3, x4, x5)  =  U220_GA(x5)
SUM10_IN_GGGA(x1, x2, x3, x4)  =  SUM10_IN_GGGA(x1, x2, x3)
U203_GGGA(x1, x2, x3, x4, x5)  =  U203_GGGA(x5)
SUM47_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM47_IN_GGGGA(x1, x2, x3, x4)
U1_GGGGA(x1, x2, x3, x4, x5, x6)  =  U1_GGGGA(x6)
U2_GGGGA(x1, x2, x3, x4, x5)  =  U2_GGGGA(x5)
SUM55_IN_GGGA(x1, x2, x3, x4)  =  SUM55_IN_GGGA(x1, x2, x3)
U3_GGGA(x1, x2, x3, x4, x5)  =  U3_GGGA(x5)
U4_GGGA(x1, x2, x3, x4, x5)  =  U4_GGGA(x5)
SUM101_IN_GGGA(x1, x2, x3, x4)  =  SUM101_IN_GGGA(x1, x2, x3)
U170_GGGA(x1, x2, x3, x4, x5)  =  U170_GGGA(x5)
SUM107_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM107_IN_GGGGA(x1, x2, x3, x4)
U54_GGGGA(x1, x2, x3, x4, x5, x6)  =  U54_GGGGA(x6)
U55_GGGGA(x1, x2, x3, x4, x5, x6)  =  U55_GGGGA(x6)
SUM147_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM147_IN_GGGGA(x1, x2, x3, x4)
U178_GGGGA(x1, x2, x3, x4, x5, x6)  =  U178_GGGGA(x6)
SUM158_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM158_IN_GGGGGA(x1, x2, x3, x4, x5)
U62_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U62_GGGGGA(x7)
U63_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U63_GGGGGA(x7)
SUM193_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM193_IN_GGGGGA(x1, x2, x3, x4, x5)
U181_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U181_GGGGGA(x7)
SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)
U69_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_GGGGGGA(x8)
U70_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_GGGGGGA(x8)
SUM239_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM239_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)
U185_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_GGGGGGA(x8)
SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)
U75_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_GGGGGGGA(x9)
U76_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_GGGGGGGA(x9)
SUM285_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM285_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)
U190_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_GGGGGGGA(x9)
SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)
U80_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_GGGGGGGGA(x10)
U81_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_GGGGGGGGA(x10)
SUM331_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM331_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)
U196_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_GGGGGGGGA(x10)
SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_GGGGGGGGGA(x11)
U85_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_GGGGGGGGGA(x11)
SUM377_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM377_IN_GGGGA(x1, x2, x3, x4)
U87_GGGGA(x1, x2, x3, x4, x5, x6)  =  U87_GGGGA(x6)
U88_GGGGA(x1, x2, x3, x4, x5)  =  U88_GGGGA(x5)
SUM385_IN_GGGA(x1, x2, x3, x4)  =  SUM385_IN_GGGA(x1, x2, x3)
U89_GGGA(x1, x2, x3, x4, x5, x6)  =  U89_GGGA(x6)
U90_GGGA(x1, x2, x3, x4, x5)  =  U90_GGGA(x5)
U86_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_GGGGGGGGGA(x10)
U197_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_GGGGGGGGA(x9)
U198_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_GGGGGGGGA(x9)
U199_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_GGGGGGGGA(x9)
U200_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_GGGGGGGGA(x9)
U201_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_GGGGGGGGA(x9)
U202_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_GGGGGGGGA(x9)
U82_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_GGGGGGGGA(x9)
U83_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_GGGGGGGGA(x9)
U191_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_GGGGGGGA(x8)
U192_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_GGGGGGGA(x8)
U193_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_GGGGGGGA(x8)
U194_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_GGGGGGGA(x8)
U195_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_GGGGGGGA(x8)
U77_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_GGGGGGGA(x8)
U78_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_GGGGGGGA(x8)
U79_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_GGGGGGGA(x8)
U186_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U186_GGGGGGA(x7)
U187_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U187_GGGGGGA(x7)
U188_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U188_GGGGGGA(x7)
U189_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U189_GGGGGGA(x7)
U71_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U71_GGGGGGA(x7)
U72_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U72_GGGGGGA(x7)
U73_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U73_GGGGGGA(x7)
U74_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U74_GGGGGGA(x7)
U182_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U182_GGGGGA(x6)
U183_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U183_GGGGGA(x6)
U184_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U184_GGGGGA(x6)
U64_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U64_GGGGGA(x6)
U65_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U65_GGGGGA(x6)
U66_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U66_GGGGGA(x6)
U67_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U67_GGGGGA(x6)
U68_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U68_GGGGGA(x6)
U179_GGGGA(x1, x2, x3, x4, x5)  =  U179_GGGGA(x5)
U180_GGGGA(x1, x2, x3, x4, x5)  =  U180_GGGGA(x5)
U56_GGGGA(x1, x2, x3, x4, x5)  =  U56_GGGGA(x5)
U57_GGGGA(x1, x2, x3, x4, x5)  =  U57_GGGGA(x5)
U58_GGGGA(x1, x2, x3, x4, x5)  =  U58_GGGGA(x5)
U59_GGGGA(x1, x2, x3, x4, x5)  =  U59_GGGGA(x5)
U60_GGGGA(x1, x2, x3, x4, x5)  =  U60_GGGGA(x5)
U61_GGGGA(x1, x2, x3, x4, x5)  =  U61_GGGGA(x5)
U171_GGGA(x1, x2, x3, x4, x5)  =  U171_GGGA(x5)
U172_GGGA(x1, x2, x3, x4, x5)  =  U172_GGGA(x5)
U173_GGGA(x1, x2, x3, x4, x5)  =  U173_GGGA(x5)
U174_GGGA(x1, x2, x3, x4, x5)  =  U174_GGGA(x5)
U175_GGGA(x1, x2, x3, x4, x5)  =  U175_GGGA(x5)
U176_GGGA(x1, x2, x3, x4, x5)  =  U176_GGGA(x5)
U177_GGGA(x1, x2, x3, x4)  =  U177_GGGA(x4)
U5_GGGA(x1, x2, x3, x4, x5)  =  U5_GGGA(x5)
U6_GGGA(x1, x2, x3, x4, x5)  =  U6_GGGA(x5)
U7_GGGA(x1, x2, x3, x4, x5)  =  U7_GGGA(x5)
U8_GGGA(x1, x2, x3, x4, x5)  =  U8_GGGA(x5)
U9_GGGA(x1, x2, x3, x4, x5)  =  U9_GGGA(x5)
U10_GGGA(x1, x2, x3, x4, x5)  =  U10_GGGA(x5)
U11_GGGA(x1, x2, x3, x4)  =  U11_GGGA(x4)
U12_GGGA(x1, x2, x3, x4, x5)  =  U12_GGGA(x5)
U13_GGGA(x1, x2, x3, x4, x5)  =  U13_GGGA(x5)
U14_GGGA(x1, x2, x3, x4, x5)  =  U14_GGGA(x5)
U15_GGGA(x1, x2, x3, x4, x5)  =  U15_GGGA(x5)
U16_GGGA(x1, x2, x3, x4, x5)  =  U16_GGGA(x5)
U17_GGGA(x1, x2, x3, x4, x5)  =  U17_GGGA(x5)
U18_GGGA(x1, x2, x3, x4)  =  U18_GGGA(x4)
U19_GGGA(x1, x2, x3, x4, x5)  =  U19_GGGA(x5)
U20_GGGA(x1, x2, x3, x4, x5)  =  U20_GGGA(x5)
U21_GGGA(x1, x2, x3, x4, x5)  =  U21_GGGA(x5)
U22_GGGA(x1, x2, x3, x4, x5)  =  U22_GGGA(x5)
U23_GGGA(x1, x2, x3, x4, x5)  =  U23_GGGA(x5)
U24_GGGA(x1, x2, x3, x4, x5)  =  U24_GGGA(x5)
U25_GGGA(x1, x2, x3, x4)  =  U25_GGGA(x4)
U26_GGGA(x1, x2, x3, x4, x5)  =  U26_GGGA(x5)
U27_GGGA(x1, x2, x3, x4, x5)  =  U27_GGGA(x5)
U28_GGGA(x1, x2, x3, x4, x5)  =  U28_GGGA(x5)
U29_GGGA(x1, x2, x3, x4, x5)  =  U29_GGGA(x5)
U30_GGGA(x1, x2, x3, x4, x5)  =  U30_GGGA(x5)
U31_GGGA(x1, x2, x3, x4, x5)  =  U31_GGGA(x5)
U32_GGGA(x1, x2, x3, x4)  =  U32_GGGA(x4)
U33_GGGA(x1, x2, x3, x4, x5)  =  U33_GGGA(x5)
U34_GGGA(x1, x2, x3, x4, x5)  =  U34_GGGA(x5)
U35_GGGA(x1, x2, x3, x4, x5)  =  U35_GGGA(x5)
U36_GGGA(x1, x2, x3, x4, x5)  =  U36_GGGA(x5)
U37_GGGA(x1, x2, x3, x4, x5)  =  U37_GGGA(x5)
U38_GGGA(x1, x2, x3, x4, x5)  =  U38_GGGA(x5)
U39_GGGA(x1, x2, x3, x4)  =  U39_GGGA(x4)
U40_GGGA(x1, x2, x3, x4, x5)  =  U40_GGGA(x5)
U41_GGGA(x1, x2, x3, x4, x5)  =  U41_GGGA(x5)
U42_GGGA(x1, x2, x3, x4, x5)  =  U42_GGGA(x5)
U43_GGGA(x1, x2, x3, x4, x5)  =  U43_GGGA(x5)
U44_GGGA(x1, x2, x3, x4, x5)  =  U44_GGGA(x5)
U45_GGGA(x1, x2, x3, x4, x5)  =  U45_GGGA(x5)
U46_GGGA(x1, x2, x3, x4)  =  U46_GGGA(x4)
U47_GGGA(x1, x2, x3, x4, x5)  =  U47_GGGA(x5)
U48_GGGA(x1, x2, x3, x4, x5)  =  U48_GGGA(x5)
U49_GGGA(x1, x2, x3, x4, x5)  =  U49_GGGA(x5)
U50_GGGA(x1, x2, x3, x4, x5)  =  U50_GGGA(x5)
U51_GGGA(x1, x2, x3, x4, x5)  =  U51_GGGA(x5)
U52_GGGA(x1, x2, x3, x4, x5)  =  U52_GGGA(x5)
U53_GGGA(x1, x2, x3, x4)  =  U53_GGGA(x4)
U204_GGGA(x1, x2, x3, x4)  =  U204_GGGA(x4)
SUM1253_IN_GGA(x1, x2, x3)  =  SUM1253_IN_GGA(x1, x2)
U93_GGA(x1, x2, x3, x4)  =  U93_GGA(x4)
U94_GGA(x1, x2, x3, x4)  =  U94_GGA(x4)
U95_GGA(x1, x2, x3, x4)  =  U95_GGA(x4)
U96_GGA(x1, x2, x3, x4)  =  U96_GGA(x4)
U97_GGA(x1, x2, x3, x4)  =  U97_GGA(x4)
U98_GGA(x1, x2, x3, x4)  =  U98_GGA(x4)
U99_GGA(x1, x2, x3, x4)  =  U99_GGA(x4)
U100_GGA(x1, x2, x3, x4)  =  U100_GGA(x4)
U101_GGA(x1, x2, x3)  =  U101_GGA(x3)
SUM1335_IN_GGA(x1, x2, x3)  =  SUM1335_IN_GGA(x1, x2)
U91_GGA(x1, x2, x3, x4, x5)  =  U91_GGA(x5)
U92_GGA(x1, x2, x3, x4)  =  U92_GGA(x4)
U205_GGGA(x1, x2, x3, x4)  =  U205_GGGA(x4)
SUM1373_IN_GGA(x1, x2, x3)  =  SUM1373_IN_GGA(x1, x2)
U104_GGA(x1, x2, x3, x4)  =  U104_GGA(x4)
U105_GGA(x1, x2, x3, x4)  =  U105_GGA(x4)
U106_GGA(x1, x2, x3, x4)  =  U106_GGA(x4)
U107_GGA(x1, x2, x3, x4)  =  U107_GGA(x4)
U108_GGA(x1, x2, x3, x4)  =  U108_GGA(x4)
U109_GGA(x1, x2, x3, x4)  =  U109_GGA(x4)
U110_GGA(x1, x2, x3, x4)  =  U110_GGA(x4)
U111_GGA(x1, x2, x3, x4)  =  U111_GGA(x4)
U112_GGA(x1, x2, x3)  =  U112_GGA(x3)
SUM1447_IN_GGA(x1, x2, x3)  =  SUM1447_IN_GGA(x1, x2)
U102_GGA(x1, x2, x3, x4, x5)  =  U102_GGA(x5)
U103_GGA(x1, x2, x3, x4)  =  U103_GGA(x4)
U206_GGGA(x1, x2, x3, x4)  =  U206_GGGA(x4)
SUM1485_IN_GGA(x1, x2, x3)  =  SUM1485_IN_GGA(x1, x2)
U115_GGA(x1, x2, x3, x4)  =  U115_GGA(x4)
U116_GGA(x1, x2, x3, x4)  =  U116_GGA(x4)
U117_GGA(x1, x2, x3, x4)  =  U117_GGA(x4)
U118_GGA(x1, x2, x3, x4)  =  U118_GGA(x4)
U119_GGA(x1, x2, x3, x4)  =  U119_GGA(x4)
U120_GGA(x1, x2, x3, x4)  =  U120_GGA(x4)
U121_GGA(x1, x2, x3, x4)  =  U121_GGA(x4)
U122_GGA(x1, x2, x3, x4)  =  U122_GGA(x4)
U123_GGA(x1, x2, x3)  =  U123_GGA(x3)
SUM1559_IN_GGA(x1, x2, x3)  =  SUM1559_IN_GGA(x1, x2)
U113_GGA(x1, x2, x3, x4, x5)  =  U113_GGA(x5)
U114_GGA(x1, x2, x3, x4)  =  U114_GGA(x4)
U207_GGGA(x1, x2, x3, x4)  =  U207_GGGA(x4)
SUM1597_IN_GGA(x1, x2, x3)  =  SUM1597_IN_GGA(x1, x2)
U126_GGA(x1, x2, x3, x4)  =  U126_GGA(x4)
U127_GGA(x1, x2, x3, x4)  =  U127_GGA(x4)
U128_GGA(x1, x2, x3, x4)  =  U128_GGA(x4)
U129_GGA(x1, x2, x3, x4)  =  U129_GGA(x4)
U130_GGA(x1, x2, x3, x4)  =  U130_GGA(x4)
U131_GGA(x1, x2, x3, x4)  =  U131_GGA(x4)
U132_GGA(x1, x2, x3, x4)  =  U132_GGA(x4)
U133_GGA(x1, x2, x3, x4)  =  U133_GGA(x4)
U134_GGA(x1, x2, x3)  =  U134_GGA(x3)
SUM1671_IN_GGA(x1, x2, x3)  =  SUM1671_IN_GGA(x1, x2)
U124_GGA(x1, x2, x3, x4, x5)  =  U124_GGA(x5)
U125_GGA(x1, x2, x3, x4)  =  U125_GGA(x4)
U208_GGGA(x1, x2, x3, x4)  =  U208_GGGA(x4)
SUM1709_IN_GGA(x1, x2, x3)  =  SUM1709_IN_GGA(x1, x2)
U137_GGA(x1, x2, x3, x4)  =  U137_GGA(x4)
U138_GGA(x1, x2, x3, x4)  =  U138_GGA(x4)
U139_GGA(x1, x2, x3, x4)  =  U139_GGA(x4)
U140_GGA(x1, x2, x3, x4)  =  U140_GGA(x4)
U141_GGA(x1, x2, x3, x4)  =  U141_GGA(x4)
U142_GGA(x1, x2, x3, x4)  =  U142_GGA(x4)
U143_GGA(x1, x2, x3, x4)  =  U143_GGA(x4)
U144_GGA(x1, x2, x3, x4)  =  U144_GGA(x4)
U145_GGA(x1, x2, x3)  =  U145_GGA(x3)
SUM1783_IN_GGA(x1, x2, x3)  =  SUM1783_IN_GGA(x1, x2)
U135_GGA(x1, x2, x3, x4, x5)  =  U135_GGA(x5)
U136_GGA(x1, x2, x3, x4)  =  U136_GGA(x4)
U209_GGGA(x1, x2, x3, x4)  =  U209_GGGA(x4)
SUM1821_IN_GGA(x1, x2, x3)  =  SUM1821_IN_GGA(x1, x2)
U148_GGA(x1, x2, x3, x4)  =  U148_GGA(x4)
U149_GGA(x1, x2, x3, x4)  =  U149_GGA(x4)
U150_GGA(x1, x2, x3, x4)  =  U150_GGA(x4)
U151_GGA(x1, x2, x3, x4)  =  U151_GGA(x4)
U152_GGA(x1, x2, x3, x4)  =  U152_GGA(x4)
U153_GGA(x1, x2, x3, x4)  =  U153_GGA(x4)
U154_GGA(x1, x2, x3, x4)  =  U154_GGA(x4)
U155_GGA(x1, x2, x3, x4)  =  U155_GGA(x4)
U156_GGA(x1, x2, x3)  =  U156_GGA(x3)
SUM1895_IN_GGA(x1, x2, x3)  =  SUM1895_IN_GGA(x1, x2)
U146_GGA(x1, x2, x3, x4, x5)  =  U146_GGA(x5)
U147_GGA(x1, x2, x3, x4)  =  U147_GGA(x4)
U210_GGGA(x1, x2, x3, x4)  =  U210_GGGA(x4)
SUM1933_IN_GGA(x1, x2, x3)  =  SUM1933_IN_GGA(x1, x2)
U159_GGA(x1, x2, x3, x4)  =  U159_GGA(x4)
U160_GGA(x1, x2, x3, x4)  =  U160_GGA(x4)
U161_GGA(x1, x2, x3, x4)  =  U161_GGA(x4)
U162_GGA(x1, x2, x3, x4)  =  U162_GGA(x4)
U163_GGA(x1, x2, x3, x4)  =  U163_GGA(x4)
U164_GGA(x1, x2, x3, x4)  =  U164_GGA(x4)
U165_GGA(x1, x2, x3, x4)  =  U165_GGA(x4)
U166_GGA(x1, x2, x3, x4)  =  U166_GGA(x4)
U167_GGA(x1, x2, x3)  =  U167_GGA(x3)
SUM2007_IN_GGA(x1, x2, x3)  =  SUM2007_IN_GGA(x1, x2)
U157_GGA(x1, x2, x3, x4, x5)  =  U157_GGA(x5)
U158_GGA(x1, x2, x3, x4)  =  U158_GGA(x4)
U221_GA(x1, x2, x3, x4, x5)  =  U221_GA(x5)
U222_GA(x1, x2, x3, x4, x5)  =  U222_GA(x5)
U223_GA(x1, x2, x3, x4)  =  U223_GA(x4)
SUM2047_IN_GGA(x1, x2, x3)  =  SUM2047_IN_GGA(x1, x2)
U211_GGA(x1, x2, x3, x4)  =  U211_GGA(x4)
U212_GGA(x1, x2, x3, x4)  =  U212_GGA(x4)
U213_GGA(x1, x2, x3, x4)  =  U213_GGA(x4)
U214_GGA(x1, x2, x3, x4)  =  U214_GGA(x4)
U215_GGA(x1, x2, x3, x4)  =  U215_GGA(x4)
U216_GGA(x1, x2, x3, x4)  =  U216_GGA(x4)
U217_GGA(x1, x2, x3, x4)  =  U217_GGA(x4)
U218_GGA(x1, x2, x3, x4)  =  U218_GGA(x4)
U219_GGA(x1, x2, x3)  =  U219_GGA(x3)
SUM2121_IN_GGA(x1, x2, x3)  =  SUM2121_IN_GGA(x1, x2)
U168_GGA(x1, x2, x3, x4, x5)  =  U168_GGA(x5)
U169_GGA(x1, x2, x3, x4)  =  U169_GGA(x4)
U224_GA(x1, x2, x3, x4)  =  U224_GA(x4)
U225_GA(x1, x2, x3, x4)  =  U225_GA(x4)

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

(7) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 18 SCCs with 424 less nodes.

(8) Complex Obligation (AND)

(9) Obligation:

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

SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → SUM385_IN_GGGA(T2440, T2441, T2442, X3061)
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466, X3100)
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423, X3030)
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → SUM385_IN_GGGA(T2483, T2484, T2485, X3131)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM377_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM377_IN_GGGGA(x1, x2, x3, x4)
SUM385_IN_GGGA(x1, x2, x3, x4)  =  SUM385_IN_GGGA(x1, x2, x3)

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

(10) UsableRulesProof (EQUIVALENT transformation)

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

(11) Obligation:

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

SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → SUM385_IN_GGGA(T2440, T2441, T2442, X3061)
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466, X3100)
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423, X3030)
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → SUM385_IN_GGGA(T2483, T2484, T2485, X3131)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
0  =  0
SUM377_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM377_IN_GGGGA(x1, x2, x3, x4)
SUM385_IN_GGGA(x1, x2, x3, x4)  =  SUM385_IN_GGGA(x1, x2, x3)

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

(12) PiDPToQDPProof (SOUND transformation)

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

(13) Obligation:

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

SUM377_IN_GGGGA(0, T2440, T2441, T2442) → SUM385_IN_GGGA(T2440, T2441, T2442)
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466)
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423)
SUM385_IN_GGGA(.(0, T2483), T2484, T2485) → SUM385_IN_GGGA(T2483, T2484, T2485)

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

(14) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466)
    The graph contains the following edges 1 > 1, 1 > 2, 3 >= 4

  • SUM385_IN_GGGA(.(0, T2483), T2484, T2485) → SUM385_IN_GGGA(T2483, T2484, T2485)
    The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3

  • SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4

  • SUM377_IN_GGGGA(0, T2440, T2441, T2442) → SUM385_IN_GGGA(T2440, T2441, T2442)
    The graph contains the following edges 2 >= 1, 3 >= 2, 4 >= 3

(15) YES

(16) Obligation:

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

SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → SUM1335_IN_GGA(T5873, T5874, X8948)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM1335_IN_GGA(x1, x2, x3)  =  SUM1335_IN_GGA(x1, x2)

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

(17) UsableRulesProof (EQUIVALENT transformation)

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

(18) Obligation:

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

SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → SUM1335_IN_GGA(T5873, T5874, X8948)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1335_IN_GGA(x1, x2, x3)  =  SUM1335_IN_GGA(x1, x2)

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

(19) PiDPToQDPProof (SOUND transformation)

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

(20) Obligation:

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

SUM1335_IN_GGA(.(0, T5873), T5874) → SUM1335_IN_GGA(T5873, T5874)

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

(21) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1335_IN_GGA(.(0, T5873), T5874) → SUM1335_IN_GGA(T5873, T5874)
    The graph contains the following edges 1 > 1, 2 >= 2

(22) YES

(23) Obligation:

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

SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → SUM1447_IN_GGA(T6075, T6076, X9647)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM1447_IN_GGA(x1, x2, x3)  =  SUM1447_IN_GGA(x1, x2)

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

(24) UsableRulesProof (EQUIVALENT transformation)

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

(25) Obligation:

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

SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → SUM1447_IN_GGA(T6075, T6076, X9647)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1447_IN_GGA(x1, x2, x3)  =  SUM1447_IN_GGA(x1, x2)

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

(26) PiDPToQDPProof (SOUND transformation)

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

(27) Obligation:

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

SUM1447_IN_GGA(.(0, T6075), T6076) → SUM1447_IN_GGA(T6075, T6076)

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

(28) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1447_IN_GGA(.(0, T6075), T6076) → SUM1447_IN_GGA(T6075, T6076)
    The graph contains the following edges 1 > 1, 2 >= 2

(29) YES

(30) Obligation:

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

SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → SUM1559_IN_GGA(T6277, T6278, X10346)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM1559_IN_GGA(x1, x2, x3)  =  SUM1559_IN_GGA(x1, x2)

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

(31) UsableRulesProof (EQUIVALENT transformation)

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

(32) Obligation:

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

SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → SUM1559_IN_GGA(T6277, T6278, X10346)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1559_IN_GGA(x1, x2, x3)  =  SUM1559_IN_GGA(x1, x2)

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

(33) PiDPToQDPProof (SOUND transformation)

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

(34) Obligation:

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

SUM1559_IN_GGA(.(0, T6277), T6278) → SUM1559_IN_GGA(T6277, T6278)

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

(35) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1559_IN_GGA(.(0, T6277), T6278) → SUM1559_IN_GGA(T6277, T6278)
    The graph contains the following edges 1 > 1, 2 >= 2

(36) YES

(37) Obligation:

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

SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → SUM1671_IN_GGA(T6479, T6480, X11045)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM1671_IN_GGA(x1, x2, x3)  =  SUM1671_IN_GGA(x1, x2)

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

(38) UsableRulesProof (EQUIVALENT transformation)

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

(39) Obligation:

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

SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → SUM1671_IN_GGA(T6479, T6480, X11045)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1671_IN_GGA(x1, x2, x3)  =  SUM1671_IN_GGA(x1, x2)

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

(40) PiDPToQDPProof (SOUND transformation)

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

(41) Obligation:

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

SUM1671_IN_GGA(.(0, T6479), T6480) → SUM1671_IN_GGA(T6479, T6480)

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

(42) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1671_IN_GGA(.(0, T6479), T6480) → SUM1671_IN_GGA(T6479, T6480)
    The graph contains the following edges 1 > 1, 2 >= 2

(43) YES

(44) Obligation:

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

SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → SUM1783_IN_GGA(T6681, T6682, X11744)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM1783_IN_GGA(x1, x2, x3)  =  SUM1783_IN_GGA(x1, x2)

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

(45) UsableRulesProof (EQUIVALENT transformation)

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

(46) Obligation:

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

SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → SUM1783_IN_GGA(T6681, T6682, X11744)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1783_IN_GGA(x1, x2, x3)  =  SUM1783_IN_GGA(x1, x2)

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

(47) PiDPToQDPProof (SOUND transformation)

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

(48) Obligation:

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

SUM1783_IN_GGA(.(0, T6681), T6682) → SUM1783_IN_GGA(T6681, T6682)

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

(49) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1783_IN_GGA(.(0, T6681), T6682) → SUM1783_IN_GGA(T6681, T6682)
    The graph contains the following edges 1 > 1, 2 >= 2

(50) YES

(51) Obligation:

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

SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → SUM1895_IN_GGA(T6883, T6884, X12443)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM1895_IN_GGA(x1, x2, x3)  =  SUM1895_IN_GGA(x1, x2)

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

(52) UsableRulesProof (EQUIVALENT transformation)

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

(53) Obligation:

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

SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → SUM1895_IN_GGA(T6883, T6884, X12443)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1895_IN_GGA(x1, x2, x3)  =  SUM1895_IN_GGA(x1, x2)

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

(54) PiDPToQDPProof (SOUND transformation)

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

(55) Obligation:

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

SUM1895_IN_GGA(.(0, T6883), T6884) → SUM1895_IN_GGA(T6883, T6884)

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

(56) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1895_IN_GGA(.(0, T6883), T6884) → SUM1895_IN_GGA(T6883, T6884)
    The graph contains the following edges 1 > 1, 2 >= 2

(57) YES

(58) Obligation:

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

SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → SUM2007_IN_GGA(T7085, T7086, X13142)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM2007_IN_GGA(x1, x2, x3)  =  SUM2007_IN_GGA(x1, x2)

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

(59) UsableRulesProof (EQUIVALENT transformation)

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

(60) Obligation:

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

SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → SUM2007_IN_GGA(T7085, T7086, X13142)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM2007_IN_GGA(x1, x2, x3)  =  SUM2007_IN_GGA(x1, x2)

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

(61) PiDPToQDPProof (SOUND transformation)

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

(62) Obligation:

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

SUM2007_IN_GGA(.(0, T7085), T7086) → SUM2007_IN_GGA(T7085, T7086)

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

(63) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM2007_IN_GGA(.(0, T7085), T7086) → SUM2007_IN_GGA(T7085, T7086)
    The graph contains the following edges 1 > 1, 2 >= 2

(64) YES

(65) Obligation:

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

SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → SUM2121_IN_GGA(T7294, T7295, X13852)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM2121_IN_GGA(x1, x2, x3)  =  SUM2121_IN_GGA(x1, x2)

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

(66) UsableRulesProof (EQUIVALENT transformation)

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

(67) Obligation:

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

SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → SUM2121_IN_GGA(T7294, T7295, X13852)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM2121_IN_GGA(x1, x2, x3)  =  SUM2121_IN_GGA(x1, x2)

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

(68) PiDPToQDPProof (SOUND transformation)

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

(69) Obligation:

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

SUM2121_IN_GGA(.(0, T7294), T7295) → SUM2121_IN_GGA(T7294, T7295)

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

(70) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM2121_IN_GGA(.(0, T7294), T7295) → SUM2121_IN_GGA(T7294, T7295)
    The graph contains the following edges 1 > 1, 2 >= 2

(71) YES

(72) Obligation:

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

SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)

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

(73) UsableRulesProof (EQUIVALENT transformation)

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

(74) Obligation:

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

SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)

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

(75) PiDPToQDPProof (SOUND transformation)

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

(76) Obligation:

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

SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285)

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

(77) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9

(78) YES

(79) Obligation:

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

SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)

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

(80) UsableRulesProof (EQUIVALENT transformation)

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

(81) Obligation:

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

SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)

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

(82) PiDPToQDPProof (SOUND transformation)

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

(83) Obligation:

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

SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786)

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

(84) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8

(85) YES

(86) Obligation:

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

SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)

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

(87) UsableRulesProof (EQUIVALENT transformation)

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

(88) Obligation:

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

SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)

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

(89) PiDPToQDPProof (SOUND transformation)

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

(90) Obligation:

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

SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349)

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

(91) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7

(92) YES

(93) Obligation:

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

SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974, X1683)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)

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

(94) UsableRulesProof (EQUIVALENT transformation)

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

(95) Obligation:

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

SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974, X1683)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)

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

(96) PiDPToQDPProof (SOUND transformation)

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

(97) Obligation:

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

SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974)

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

(98) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4, 5 >= 5, 6 >= 6

(99) YES

(100) Obligation:

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

SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661, X1273)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM158_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM158_IN_GGGGGA(x1, x2, x3, x4, x5)

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

(101) UsableRulesProof (EQUIVALENT transformation)

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

(102) Obligation:

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

SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661, X1273)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM158_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM158_IN_GGGGGA(x1, x2, x3, x4, x5)

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

(103) PiDPToQDPProof (SOUND transformation)

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

(104) Obligation:

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

SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661)

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

(105) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4, 5 >= 5

(106) YES

(107) Obligation:

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

SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → SUM107_IN_GGGGA(T407, T408, s(T409), T410, X863)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM107_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM107_IN_GGGGA(x1, x2, x3, x4)

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

(108) UsableRulesProof (EQUIVALENT transformation)

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

(109) Obligation:

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

SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → SUM107_IN_GGGGA(T407, T408, s(T409), T410, X863)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM107_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM107_IN_GGGGA(x1, x2, x3, x4)

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

(110) PiDPToQDPProof (SOUND transformation)

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

(111) Obligation:

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

SUM107_IN_GGGGA(s(T407), T408, T409, T410) → SUM107_IN_GGGGA(T407, T408, s(T409), T410)

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

(112) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM107_IN_GGGGA(s(T407), T408, T409, T410) → SUM107_IN_GGGGA(T407, T408, s(T409), T410)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4

(113) YES

(114) Obligation:

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

SUM55_IN_GGGA(s(T219), T220, T221, X453) → SUM55_IN_GGGA(T219, T220, s(T221), X453)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM55_IN_GGGA(x1, x2, x3, x4)  =  SUM55_IN_GGGA(x1, x2, x3)

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

(115) UsableRulesProof (EQUIVALENT transformation)

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

(116) Obligation:

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

SUM55_IN_GGGA(s(T219), T220, T221, X453) → SUM55_IN_GGGA(T219, T220, s(T221), X453)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM55_IN_GGGA(x1, x2, x3, x4)  =  SUM55_IN_GGGA(x1, x2, x3)

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

(117) PiDPToQDPProof (SOUND transformation)

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

(118) Obligation:

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

SUM55_IN_GGGA(s(T219), T220, T221) → SUM55_IN_GGGA(T219, T220, s(T221))

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

(119) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM55_IN_GGGA(s(T219), T220, T221) → SUM55_IN_GGGA(T219, T220, s(T221))
    The graph contains the following edges 1 > 1, 2 >= 2

(120) YES

(121) Obligation:

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

SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → SUM47_IN_GGGGA(T181, T182, T183, s(T184), X383)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
SUM47_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM47_IN_GGGGA(x1, x2, x3, x4)

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

(122) UsableRulesProof (EQUIVALENT transformation)

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

(123) Obligation:

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

SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → SUM47_IN_GGGGA(T181, T182, T183, s(T184), X383)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM47_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM47_IN_GGGGA(x1, x2, x3, x4)

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

(124) PiDPToQDPProof (SOUND transformation)

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

(125) Obligation:

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

SUM47_IN_GGGGA(s(T181), T182, T183, T184) → SUM47_IN_GGGGA(T181, T182, T183, s(T184))

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

(126) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM47_IN_GGGGA(s(T181), T182, T183, T184) → SUM47_IN_GGGGA(T181, T182, T183, s(T184))
    The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3

(127) YES

(128) Obligation:

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

WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U221_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30, T11)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U224_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → WEIGHT1_IN_GA(T7109, T11)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x4)
WEIGHT1_IN_GA(x1, x2)  =  WEIGHT1_IN_GA(x1)
U221_GA(x1, x2, x3, x4, x5)  =  U221_GA(x5)
U224_GA(x1, x2, x3, x4)  =  U224_GA(x4)

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

(129) UsableRulesProof (EQUIVALENT transformation)

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

(130) Obligation:

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

WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U221_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30, T11)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U224_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → WEIGHT1_IN_GA(T7109, T11)

The TRS R consists of the following rules:

sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x4)
U101_gga(x1, x2, x3)  =  U101_gga(x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x4)
U112_gga(x1, x2, x3)  =  U112_gga(x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x4)
U123_gga(x1, x2, x3)  =  U123_gga(x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x4)
U134_gga(x1, x2, x3)  =  U134_gga(x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x4)
U145_gga(x1, x2, x3)  =  U145_gga(x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x4)
U156_gga(x1, x2, x3)  =  U156_gga(x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x4)
U167_gga(x1, x2, x3)  =  U167_gga(x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x4)
U219_gga(x1, x2, x3)  =  U219_gga(x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x4)
WEIGHT1_IN_GA(x1, x2)  =  WEIGHT1_IN_GA(x1)
U221_GA(x1, x2, x3, x4, x5)  =  U221_GA(x5)
U224_GA(x1, x2, x3, x4)  =  U224_GA(x4)

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

(131) PiDPToQDPProof (SOUND transformation)

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

(132) Obligation:

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

WEIGHT1_IN_GA(.(s(T24), .(T25, T26))) → U221_GA(sum10_in_ggga(T24, T25, T26))
U221_GA(sum10_out_ggga(T30)) → WEIGHT1_IN_GA(T30)
WEIGHT1_IN_GA(.(0, .(T7105, T7106))) → U224_GA(sum2047_in_gga(T7105, T7106))
U224_GA(sum2047_out_gga(T7109)) → WEIGHT1_IN_GA(T7109)

The TRS R consists of the following rules:

sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156) → U203_ggga(sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0)))))))))
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654) → U204_ggga(sum1253_in_gga(T5653, T5654))
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890) → U205_ggga(sum1373_in_gga(T5889, T5890))
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092) → U206_ggga(sum1485_in_gga(T6091, T6092))
sum10_in_ggga(s(s(s(0))), T6293, T6294) → U207_ggga(sum1597_in_gga(T6293, T6294))
sum10_in_ggga(s(s(0)), T6495, T6496) → U208_ggga(sum1709_in_gga(T6495, T6496))
sum10_in_ggga(s(0), T6697, T6698) → U209_ggga(sum1821_in_gga(T6697, T6698))
sum10_in_ggga(0, T6899, T6900) → U210_ggga(sum1933_in_gga(T6899, T6900))
sum2047_in_gga(s(T7120), T7121) → U211_gga(sum1933_in_gga(T7120, T7121))
sum2047_in_gga(0, .(s(T7139), T7140)) → U212_gga(sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140)))
sum2047_in_gga(0, .(0, .(s(T7158), T7159))) → U213_gga(sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159))))
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178)))) → U214_gga(sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178)))))
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197))))) → U215_gga(sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216)))))) → U216_gga(sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216)))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235))))))) → U217_gga(sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254)))))))) → U218_gga(sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254)))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261)))))))) → U219_gga(sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261)))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(.(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(.(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(.(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, [])))) → sum2047_out_gga(.(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, []))) → sum2047_out_gga(.(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, [])) → sum2047_out_gga(.(0, .(0, [])))
sum2047_in_gga(0, []) → sum2047_out_gga(.(0, []))
U203_ggga(sum47_out_gggga(X336)) → sum10_out_ggga(X336)
U204_ggga(sum1253_out_gga(X8264)) → sum10_out_ggga(X8264)
U205_ggga(sum1373_out_gga(X9011)) → sum10_out_ggga(X9011)
U206_ggga(sum1485_out_gga(X9710)) → sum10_out_ggga(X9710)
U207_ggga(sum1597_out_gga(X10409)) → sum10_out_ggga(X10409)
U208_ggga(sum1709_out_gga(X11108)) → sum10_out_ggga(X11108)
U209_ggga(sum1821_out_gga(X11807)) → sum10_out_ggga(X11807)
U210_ggga(sum1933_out_gga(X12506)) → sum10_out_ggga(X12506)
U211_gga(sum1933_out_gga(X13255)) → sum2047_out_gga(X13255)
U212_gga(sum2007_out_gga(X13325)) → sum2047_out_gga(X13325)
U213_gga(sum2007_out_gga(X13395)) → sum2047_out_gga(X13395)
U214_gga(sum2007_out_gga(X13465)) → sum2047_out_gga(X13465)
U215_gga(sum2007_out_gga(X13535)) → sum2047_out_gga(X13535)
U216_gga(sum2007_out_gga(X13605)) → sum2047_out_gga(X13605)
U217_gga(sum2007_out_gga(X13675)) → sum2047_out_gga(X13675)
U218_gga(sum2007_out_gga(X13745)) → sum2047_out_gga(X13745)
U219_gga(sum2121_out_gga(X13776)) → sum2047_out_gga(X13776)
sum47_in_gggga(s(T181), T182, T183, T184) → U1_gggga(sum47_in_gggga(T181, T182, T183, s(T184)))
sum47_in_gggga(0, T201, T202, T203) → U2_gggga(sum55_in_ggga(T201, T202, T203))
sum1253_in_gga(s(T5665), T5666) → U93_gga(sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0)))))))))
sum1253_in_gga(0, .(s(T5688), T5689)) → U94_gga(sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689)))
sum1253_in_gga(0, .(0, .(s(T5711), T5712))) → U95_gga(sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712))))
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735)))) → U96_gga(sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735)))))
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758))))) → U97_gga(sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))) → U98_gga(sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))) → U99_gga(sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))) → U100_gga(sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))) → U101_gga(sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(.(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(.(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1253_out_gga(.(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, [])))) → sum1253_out_gga(.(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, []))) → sum1253_out_gga(.(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, [])) → sum1253_out_gga(.(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, []) → sum1253_out_gga(.(s(s(s(s(s(s(s(0))))))), []))
sum1373_in_gga(s(T5901), T5902) → U104_gga(sum1253_in_gga(T5901, T5902))
sum1373_in_gga(0, .(s(T5920), T5921)) → U105_gga(sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921)))
sum1373_in_gga(0, .(0, .(s(T5939), T5940))) → U106_gga(sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940))))
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959)))) → U107_gga(sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959)))))
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978))))) → U108_gga(sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))) → U109_gga(sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))) → U110_gga(sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))) → U111_gga(sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))) → U112_gga(sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(.(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(.(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1373_out_gga(.(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, [])))) → sum1373_out_gga(.(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, []))) → sum1373_out_gga(.(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, [])) → sum1373_out_gga(.(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, []) → sum1373_out_gga(.(s(s(s(s(s(s(0)))))), []))
sum1485_in_gga(s(T6103), T6104) → U115_gga(sum1373_in_gga(T6103, T6104))
sum1485_in_gga(0, .(s(T6122), T6123)) → U116_gga(sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123)))
sum1485_in_gga(0, .(0, .(s(T6141), T6142))) → U117_gga(sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142))))
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161)))) → U118_gga(sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161)))))
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180))))) → U119_gga(sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))) → U120_gga(sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))) → U121_gga(sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))) → U122_gga(sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))) → U123_gga(sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(.(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(.(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1485_out_gga(.(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, [])))) → sum1485_out_gga(.(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, []))) → sum1485_out_gga(.(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, [])) → sum1485_out_gga(.(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, []) → sum1485_out_gga(.(s(s(s(s(s(0))))), []))
sum1597_in_gga(s(T6305), T6306) → U126_gga(sum1485_in_gga(T6305, T6306))
sum1597_in_gga(0, .(s(T6324), T6325)) → U127_gga(sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325)))
sum1597_in_gga(0, .(0, .(s(T6343), T6344))) → U128_gga(sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344))))
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363)))) → U129_gga(sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363)))))
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382))))) → U130_gga(sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))) → U131_gga(sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))) → U132_gga(sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))) → U133_gga(sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))) → U134_gga(sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(.(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(.(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1597_out_gga(.(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, [])))) → sum1597_out_gga(.(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, []))) → sum1597_out_gga(.(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, [])) → sum1597_out_gga(.(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, []) → sum1597_out_gga(.(s(s(s(s(0)))), []))
sum1709_in_gga(s(T6507), T6508) → U137_gga(sum1597_in_gga(T6507, T6508))
sum1709_in_gga(0, .(s(T6526), T6527)) → U138_gga(sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527)))
sum1709_in_gga(0, .(0, .(s(T6545), T6546))) → U139_gga(sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546))))
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565)))) → U140_gga(sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565)))))
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584))))) → U141_gga(sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))) → U142_gga(sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))) → U143_gga(sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))) → U144_gga(sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))) → U145_gga(sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(.(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(.(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1709_out_gga(.(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, [])))) → sum1709_out_gga(.(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, []))) → sum1709_out_gga(.(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, [])) → sum1709_out_gga(.(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, []) → sum1709_out_gga(.(s(s(s(0))), []))
sum1821_in_gga(s(T6709), T6710) → U148_gga(sum1709_in_gga(T6709, T6710))
sum1821_in_gga(0, .(s(T6728), T6729)) → U149_gga(sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729)))
sum1821_in_gga(0, .(0, .(s(T6747), T6748))) → U150_gga(sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748))))
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767)))) → U151_gga(sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767)))))
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786))))) → U152_gga(sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))) → U153_gga(sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))) → U154_gga(sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))) → U155_gga(sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))) → U156_gga(sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(.(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(.(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1821_out_gga(.(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, [])))) → sum1821_out_gga(.(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, []))) → sum1821_out_gga(.(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, [])) → sum1821_out_gga(.(s(s(0)), .(0, [])))
sum1821_in_gga(0, []) → sum1821_out_gga(.(s(s(0)), []))
sum1933_in_gga(s(T6911), T6912) → U159_gga(sum1821_in_gga(T6911, T6912))
sum1933_in_gga(0, .(s(T6930), T6931)) → U160_gga(sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931)))
sum1933_in_gga(0, .(0, .(s(T6949), T6950))) → U161_gga(sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950))))
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969)))) → U162_gga(sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969)))))
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988))))) → U163_gga(sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))) → U164_gga(sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))) → U165_gga(sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))) → U166_gga(sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))) → U167_gga(sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(.(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(.(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1933_out_gga(.(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, [])))) → sum1933_out_gga(.(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, []))) → sum1933_out_gga(.(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, [])) → sum1933_out_gga(.(s(0), .(0, [])))
sum1933_in_gga(0, []) → sum1933_out_gga(.(s(0), []))
sum2007_in_gga(.(s(T7071), T7072), T7073) → U157_gga(sum1895_in_gga(.(T7071, T7072), T7073))
sum2007_in_gga(.(0, T7085), T7086) → U158_gga(sum2007_in_gga(T7085, T7086))
sum2121_in_gga(.(s(T7280), T7281), T7282) → U168_gga(sum2007_in_gga(.(T7280, T7281), T7282))
sum2121_in_gga(.(0, T7294), T7295) → U169_gga(sum2121_in_gga(T7294, T7295))
sum2121_in_gga([], T7301) → sum2121_out_gga(.(0, T7301))
U1_gggga(sum47_out_gggga(X383)) → sum47_out_gggga(X383)
U2_gggga(sum55_out_ggga(X414)) → sum47_out_gggga(X414)
U93_gga(sum55_out_ggga(X8303)) → sum1253_out_gga(X8303)
U94_gga(sum385_out_ggga(X8379)) → sum1253_out_gga(X8379)
U95_gga(sum385_out_ggga(X8455)) → sum1253_out_gga(X8455)
U96_gga(sum385_out_ggga(X8531)) → sum1253_out_gga(X8531)
U97_gga(sum385_out_ggga(X8607)) → sum1253_out_gga(X8607)
U98_gga(sum385_out_ggga(X8683)) → sum1253_out_gga(X8683)
U99_gga(sum385_out_ggga(X8759)) → sum1253_out_gga(X8759)
U100_gga(sum385_out_ggga(X8835)) → sum1253_out_gga(X8835)
U101_gga(sum1335_out_gga(X8872)) → sum1253_out_gga(X8872)
U104_gga(sum1253_out_gga(X9050)) → sum1373_out_gga(X9050)
U105_gga(sum1335_out_gga(X9120)) → sum1373_out_gga(X9120)
U106_gga(sum1335_out_gga(X9190)) → sum1373_out_gga(X9190)
U107_gga(sum1335_out_gga(X9260)) → sum1373_out_gga(X9260)
U108_gga(sum1335_out_gga(X9330)) → sum1373_out_gga(X9330)
U109_gga(sum1335_out_gga(X9400)) → sum1373_out_gga(X9400)
U110_gga(sum1335_out_gga(X9470)) → sum1373_out_gga(X9470)
U111_gga(sum1335_out_gga(X9540)) → sum1373_out_gga(X9540)
U112_gga(sum1447_out_gga(X9571)) → sum1373_out_gga(X9571)
U115_gga(sum1373_out_gga(X9749)) → sum1485_out_gga(X9749)
U116_gga(sum1447_out_gga(X9819)) → sum1485_out_gga(X9819)
U117_gga(sum1447_out_gga(X9889)) → sum1485_out_gga(X9889)
U118_gga(sum1447_out_gga(X9959)) → sum1485_out_gga(X9959)
U119_gga(sum1447_out_gga(X10029)) → sum1485_out_gga(X10029)
U120_gga(sum1447_out_gga(X10099)) → sum1485_out_gga(X10099)
U121_gga(sum1447_out_gga(X10169)) → sum1485_out_gga(X10169)
U122_gga(sum1447_out_gga(X10239)) → sum1485_out_gga(X10239)
U123_gga(sum1559_out_gga(X10270)) → sum1485_out_gga(X10270)
U126_gga(sum1485_out_gga(X10448)) → sum1597_out_gga(X10448)
U127_gga(sum1559_out_gga(X10518)) → sum1597_out_gga(X10518)
U128_gga(sum1559_out_gga(X10588)) → sum1597_out_gga(X10588)
U129_gga(sum1559_out_gga(X10658)) → sum1597_out_gga(X10658)
U130_gga(sum1559_out_gga(X10728)) → sum1597_out_gga(X10728)
U131_gga(sum1559_out_gga(X10798)) → sum1597_out_gga(X10798)
U132_gga(sum1559_out_gga(X10868)) → sum1597_out_gga(X10868)
U133_gga(sum1559_out_gga(X10938)) → sum1597_out_gga(X10938)
U134_gga(sum1671_out_gga(X10969)) → sum1597_out_gga(X10969)
U137_gga(sum1597_out_gga(X11147)) → sum1709_out_gga(X11147)
U138_gga(sum1671_out_gga(X11217)) → sum1709_out_gga(X11217)
U139_gga(sum1671_out_gga(X11287)) → sum1709_out_gga(X11287)
U140_gga(sum1671_out_gga(X11357)) → sum1709_out_gga(X11357)
U141_gga(sum1671_out_gga(X11427)) → sum1709_out_gga(X11427)
U142_gga(sum1671_out_gga(X11497)) → sum1709_out_gga(X11497)
U143_gga(sum1671_out_gga(X11567)) → sum1709_out_gga(X11567)
U144_gga(sum1671_out_gga(X11637)) → sum1709_out_gga(X11637)
U145_gga(sum1783_out_gga(X11668)) → sum1709_out_gga(X11668)
U148_gga(sum1709_out_gga(X11846)) → sum1821_out_gga(X11846)
U149_gga(sum1783_out_gga(X11916)) → sum1821_out_gga(X11916)
U150_gga(sum1783_out_gga(X11986)) → sum1821_out_gga(X11986)
U151_gga(sum1783_out_gga(X12056)) → sum1821_out_gga(X12056)
U152_gga(sum1783_out_gga(X12126)) → sum1821_out_gga(X12126)
U153_gga(sum1783_out_gga(X12196)) → sum1821_out_gga(X12196)
U154_gga(sum1783_out_gga(X12266)) → sum1821_out_gga(X12266)
U155_gga(sum1783_out_gga(X12336)) → sum1821_out_gga(X12336)
U156_gga(sum1895_out_gga(X12367)) → sum1821_out_gga(X12367)
U159_gga(sum1821_out_gga(X12545)) → sum1933_out_gga(X12545)
U160_gga(sum1895_out_gga(X12615)) → sum1933_out_gga(X12615)
U161_gga(sum1895_out_gga(X12685)) → sum1933_out_gga(X12685)
U162_gga(sum1895_out_gga(X12755)) → sum1933_out_gga(X12755)
U163_gga(sum1895_out_gga(X12825)) → sum1933_out_gga(X12825)
U164_gga(sum1895_out_gga(X12895)) → sum1933_out_gga(X12895)
U165_gga(sum1895_out_gga(X12965)) → sum1933_out_gga(X12965)
U166_gga(sum1895_out_gga(X13035)) → sum1933_out_gga(X13035)
U167_gga(sum2007_out_gga(X13066)) → sum1933_out_gga(X13066)
U157_gga(sum1895_out_gga(X13111)) → sum2007_out_gga(X13111)
U158_gga(sum2007_out_gga(X13142)) → sum2007_out_gga(X13142)
U168_gga(sum2007_out_gga(X13821)) → sum2121_out_gga(X13821)
U169_gga(sum2121_out_gga(X13852)) → sum2121_out_gga(X13852)
sum55_in_ggga(s(T219), T220, T221) → U3_ggga(sum55_in_ggga(T219, T220, s(T221)))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360) → U4_ggga(sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115) → U5_ggga(sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146) → U6_ggga(sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145)))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177) → U7_ggga(sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208) → U8_ggga(sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207)))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239) → U9_ggga(sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270) → U10_ggga(sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283) → U11_ggga(sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294) → sum55_out_ggga(.(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297) → sum55_out_ggga(.(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300) → sum55_out_ggga(.(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303) → sum55_out_ggga(.(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306) → sum55_out_ggga(.(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309) → sum55_out_ggga(.(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337) → U12_ggga(sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368) → U13_ggga(sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367)))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399) → U14_ggga(sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430) → U15_ggga(sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429)))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461) → U16_ggga(sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492) → U17_ggga(sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505) → U18_ggga(sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516) → sum55_out_ggga(.(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519) → sum55_out_ggga(.(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522) → sum55_out_ggga(.(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525) → sum55_out_ggga(.(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528) → sum55_out_ggga(.(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531) → sum55_out_ggga(.(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559) → U19_ggga(sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590) → U20_ggga(sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589)))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621) → U21_ggga(sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652) → U22_ggga(sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651)))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683) → U23_ggga(sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714) → U24_ggga(sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727) → U25_ggga(sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738) → sum55_out_ggga(.(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741) → sum55_out_ggga(.(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744) → sum55_out_ggga(.(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747) → sum55_out_ggga(.(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750) → sum55_out_ggga(.(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753) → sum55_out_ggga(.(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781) → U26_ggga(sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812) → U27_ggga(sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811)))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843) → U28_ggga(sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874) → U29_ggga(sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873)))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905) → U30_ggga(sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936) → U31_ggga(sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949) → U32_ggga(sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960) → sum55_out_ggga(.(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963) → sum55_out_ggga(.(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966) → sum55_out_ggga(.(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969) → sum55_out_ggga(.(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972) → sum55_out_ggga(.(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975) → sum55_out_ggga(.(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003) → U33_ggga(sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034) → U34_ggga(sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033)))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065) → U35_ggga(sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096) → U36_ggga(sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095)))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127) → U37_ggga(sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158) → U38_ggga(sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171) → U39_ggga(sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182) → sum55_out_ggga(.(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185) → sum55_out_ggga(.(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188) → sum55_out_ggga(.(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191) → sum55_out_ggga(.(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194) → sum55_out_ggga(.(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197) → sum55_out_ggga(.(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225) → U40_ggga(sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224))))
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256) → U41_ggga(sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255)))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287) → U42_ggga(sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318) → U43_ggga(sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317)))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349) → U44_ggga(sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380) → U45_ggga(sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393) → U46_ggga(sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404) → sum55_out_ggga(.(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407) → sum55_out_ggga(.(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410) → sum55_out_ggga(.(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413) → sum55_out_ggga(.(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416) → sum55_out_ggga(.(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419) → sum55_out_ggga(.(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447) → U47_ggga(sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446))))
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478) → U48_ggga(sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477)))))
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509) → U49_ggga(sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540) → U50_ggga(sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539)))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571) → U51_ggga(sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602) → U52_ggga(sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615) → U53_ggga(sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626) → sum55_out_ggga(.(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629) → sum55_out_ggga(.(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632) → sum55_out_ggga(.(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635) → sum55_out_ggga(.(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638) → sum55_out_ggga(.(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641) → sum55_out_ggga(.(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644) → sum55_out_ggga(.(s(T5644), []))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466) → U89_ggga(sum377_in_gggga(T2463, T2464, s(T2465), T2466))
sum385_in_ggga(.(0, T2483), T2484, T2485) → U90_ggga(sum385_in_ggga(T2483, T2484, T2485))
sum1335_in_gga(.(s(T5859), T5860), T5861) → U91_gga(sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861))
sum1335_in_gga(.(0, T5873), T5874) → U92_gga(sum1335_in_gga(T5873, T5874))
sum1335_in_gga([], T5880) → sum1335_out_gga(.(s(s(s(s(s(s(s(0))))))), T5880))
sum1447_in_gga(.(s(T6061), T6062), T6063) → U102_gga(sum1335_in_gga(.(T6061, T6062), T6063))
sum1447_in_gga(.(0, T6075), T6076) → U103_gga(sum1447_in_gga(T6075, T6076))
sum1447_in_gga([], T6082) → sum1447_out_gga(.(s(s(s(s(s(s(0)))))), T6082))
sum1559_in_gga(.(s(T6263), T6264), T6265) → U113_gga(sum1447_in_gga(.(T6263, T6264), T6265))
sum1559_in_gga(.(0, T6277), T6278) → U114_gga(sum1559_in_gga(T6277, T6278))
sum1559_in_gga([], T6284) → sum1559_out_gga(.(s(s(s(s(s(0))))), T6284))
sum1671_in_gga(.(s(T6465), T6466), T6467) → U124_gga(sum1559_in_gga(.(T6465, T6466), T6467))
sum1671_in_gga(.(0, T6479), T6480) → U125_gga(sum1671_in_gga(T6479, T6480))
sum1671_in_gga([], T6486) → sum1671_out_gga(.(s(s(s(s(0)))), T6486))
sum1783_in_gga(.(s(T6667), T6668), T6669) → U135_gga(sum1671_in_gga(.(T6667, T6668), T6669))
sum1783_in_gga(.(0, T6681), T6682) → U136_gga(sum1783_in_gga(T6681, T6682))
sum1783_in_gga([], T6688) → sum1783_out_gga(.(s(s(s(0))), T6688))
sum1895_in_gga(.(s(T6869), T6870), T6871) → U146_gga(sum1783_in_gga(.(T6869, T6870), T6871))
sum1895_in_gga(.(0, T6883), T6884) → U147_gga(sum1895_in_gga(T6883, T6884))
sum1895_in_gga([], T6890) → sum1895_out_gga(.(s(s(0)), T6890))
sum2007_in_gga([], T7092) → sum2007_out_gga(.(s(0), T7092))
U3_ggga(sum55_out_ggga(X453)) → sum55_out_ggga(X453)
U4_ggga(sum101_out_ggga(X769)) → sum55_out_ggga(X769)
U5_ggga(sum385_out_ggga(X4938)) → sum55_out_ggga(X4938)
U6_ggga(sum385_out_ggga(X5008)) → sum55_out_ggga(X5008)
U7_ggga(sum385_out_ggga(X5078)) → sum55_out_ggga(X5078)
U8_ggga(sum385_out_ggga(X5148)) → sum55_out_ggga(X5148)
U9_ggga(sum385_out_ggga(X5218)) → sum55_out_ggga(X5218)
U10_ggga(sum385_out_ggga(X5288)) → sum55_out_ggga(X5288)
U11_ggga(sum385_out_ggga(X5319)) → sum55_out_ggga(X5319)
U12_ggga(sum385_out_ggga(X5418)) → sum55_out_ggga(X5418)
U13_ggga(sum385_out_ggga(X5488)) → sum55_out_ggga(X5488)
U14_ggga(sum385_out_ggga(X5558)) → sum55_out_ggga(X5558)
U15_ggga(sum385_out_ggga(X5628)) → sum55_out_ggga(X5628)
U16_ggga(sum385_out_ggga(X5698)) → sum55_out_ggga(X5698)
U17_ggga(sum385_out_ggga(X5768)) → sum55_out_ggga(X5768)
U18_ggga(sum385_out_ggga(X5799)) → sum55_out_ggga(X5799)
U19_ggga(sum385_out_ggga(X5898)) → sum55_out_ggga(X5898)
U20_ggga(sum385_out_ggga(X5968)) → sum55_out_ggga(X5968)
U21_ggga(sum385_out_ggga(X6038)) → sum55_out_ggga(X6038)
U22_ggga(sum385_out_ggga(X6108)) → sum55_out_ggga(X6108)
U23_ggga(sum385_out_ggga(X6178)) → sum55_out_ggga(X6178)
U24_ggga(sum385_out_ggga(X6248)) → sum55_out_ggga(X6248)
U25_ggga(sum385_out_ggga(X6279)) → sum55_out_ggga(X6279)
U26_ggga(sum385_out_ggga(X6378)) → sum55_out_ggga(X6378)
U27_ggga(sum385_out_ggga(X6448)) → sum55_out_ggga(X6448)
U28_ggga(sum385_out_ggga(X6518)) → sum55_out_ggga(X6518)
U29_ggga(sum385_out_ggga(X6588)) → sum55_out_ggga(X6588)
U30_ggga(sum385_out_ggga(X6658)) → sum55_out_ggga(X6658)
U31_ggga(sum385_out_ggga(X6728)) → sum55_out_ggga(X6728)
U32_ggga(sum385_out_ggga(X6759)) → sum55_out_ggga(X6759)
U33_ggga(sum385_out_ggga(X6858)) → sum55_out_ggga(X6858)
U34_ggga(sum385_out_ggga(X6928)) → sum55_out_ggga(X6928)
U35_ggga(sum385_out_ggga(X6998)) → sum55_out_ggga(X6998)
U36_ggga(sum385_out_ggga(X7068)) → sum55_out_ggga(X7068)
U37_ggga(sum385_out_ggga(X7138)) → sum55_out_ggga(X7138)
U38_ggga(sum385_out_ggga(X7208)) → sum55_out_ggga(X7208)
U39_ggga(sum385_out_ggga(X7239)) → sum55_out_ggga(X7239)
U40_ggga(sum385_out_ggga(X7338)) → sum55_out_ggga(X7338)
U41_ggga(sum385_out_ggga(X7408)) → sum55_out_ggga(X7408)
U42_ggga(sum385_out_ggga(X7478)) → sum55_out_ggga(X7478)
U43_ggga(sum385_out_ggga(X7548)) → sum55_out_ggga(X7548)
U44_ggga(sum385_out_ggga(X7618)) → sum55_out_ggga(X7618)
U45_ggga(sum385_out_ggga(X7688)) → sum55_out_ggga(X7688)
U46_ggga(sum385_out_ggga(X7719)) → sum55_out_ggga(X7719)
U47_ggga(sum385_out_ggga(X7818)) → sum55_out_ggga(X7818)
U48_ggga(sum385_out_ggga(X7888)) → sum55_out_ggga(X7888)
U49_ggga(sum385_out_ggga(X7958)) → sum55_out_ggga(X7958)
U50_ggga(sum385_out_ggga(X8028)) → sum55_out_ggga(X8028)
U51_ggga(sum385_out_ggga(X8098)) → sum55_out_ggga(X8098)
U52_ggga(sum385_out_ggga(X8168)) → sum55_out_ggga(X8168)
U53_ggga(sum385_out_ggga(X8199)) → sum55_out_ggga(X8199)
U89_ggga(sum377_out_gggga(X3100)) → sum385_out_ggga(X3100)
U90_ggga(sum385_out_ggga(X3131)) → sum385_out_ggga(X3131)
U91_gga(sum385_out_ggga(X8917)) → sum1335_out_gga(X8917)
U92_gga(sum1335_out_gga(X8948)) → sum1335_out_gga(X8948)
U102_gga(sum1335_out_gga(X9616)) → sum1447_out_gga(X9616)
U103_gga(sum1447_out_gga(X9647)) → sum1447_out_gga(X9647)
U113_gga(sum1447_out_gga(X10315)) → sum1559_out_gga(X10315)
U114_gga(sum1559_out_gga(X10346)) → sum1559_out_gga(X10346)
U124_gga(sum1559_out_gga(X11014)) → sum1671_out_gga(X11014)
U125_gga(sum1671_out_gga(X11045)) → sum1671_out_gga(X11045)
U135_gga(sum1671_out_gga(X11713)) → sum1783_out_gga(X11713)
U136_gga(sum1783_out_gga(X11744)) → sum1783_out_gga(X11744)
U146_gga(sum1783_out_gga(X12412)) → sum1895_out_gga(X12412)
U147_gga(sum1895_out_gga(X12443)) → sum1895_out_gga(X12443)
sum101_in_ggga(s(T380), T381, T382) → U170_ggga(sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380)))))))))
sum101_in_ggga(0, .(s(T3891), T3892), T3893) → U171_ggga(sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892))))
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924) → U172_ggga(sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923)))))
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955) → U173_ggga(sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986) → U174_ggga(sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985)))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017) → U175_ggga(sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048) → U176_ggga(sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061) → U177_ggga(sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072) → sum101_out_ggga(.(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075) → sum101_out_ggga(.(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078) → sum101_out_ggga(.(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081) → sum101_out_ggga(.(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084) → sum101_out_ggga(.(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087) → sum101_out_ggga(.(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
sum385_in_ggga([], T2494, T2495) → sum385_out_ggga(.(s(T2494), T2495))
sum377_in_gggga(s(T2420), T2421, T2422, T2423) → U87_gggga(sum377_in_gggga(T2420, T2421, s(T2422), T2423))
sum377_in_gggga(0, T2440, T2441, T2442) → U88_gggga(sum385_in_ggga(T2440, T2441, T2442))
U170_ggga(sum107_out_gggga(X816)) → sum101_out_ggga(X816)
U171_ggga(sum385_out_ggga(X4458)) → sum101_out_ggga(X4458)
U172_ggga(sum385_out_ggga(X4528)) → sum101_out_ggga(X4528)
U173_ggga(sum385_out_ggga(X4598)) → sum101_out_ggga(X4598)
U174_ggga(sum385_out_ggga(X4668)) → sum101_out_ggga(X4668)
U175_ggga(sum385_out_ggga(X4738)) → sum101_out_ggga(X4738)
U176_ggga(sum385_out_ggga(X4808)) → sum101_out_ggga(X4808)
U177_ggga(sum385_out_ggga(X4839)) → sum101_out_ggga(X4839)
U87_gggga(sum377_out_gggga(X3030)) → sum377_out_gggga(X3030)
U88_gggga(sum385_out_ggga(X3061)) → sum377_out_gggga(X3061)
sum107_in_gggga(s(T407), T408, T409, T410) → U54_gggga(sum107_in_gggga(T407, T408, s(T409), T410))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573) → U55_gggga(sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573))
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760) → U56_gggga(sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758))))
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779) → U57_gggga(sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777))))
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798) → U58_gggga(sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796))))
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817) → U59_gggga(sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815))))
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836) → U60_gggga(sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834))))
sum107_in_gggga(0, .(0, T3853), T3854, T3855) → U61_gggga(sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853))))
sum107_in_gggga(0, [], T3864, T3865) → sum107_out_gggga(.(s(s(T3864)), .(s(T3865), [])))
U54_gggga(sum107_out_gggga(X863)) → sum107_out_gggga(X863)
U55_gggga(sum147_out_gggga(X1138)) → sum107_out_gggga(X1138)
U56_gggga(sum385_out_ggga(X4235)) → sum107_out_gggga(X4235)
U57_gggga(sum385_out_ggga(X4265)) → sum107_out_gggga(X4265)
U58_gggga(sum385_out_ggga(X4295)) → sum107_out_gggga(X4295)
U59_gggga(sum385_out_ggga(X4325)) → sum107_out_gggga(X4325)
U60_gggga(sum385_out_ggga(X4355)) → sum107_out_gggga(X4355)
U61_gggga(sum385_out_ggga(X4385)) → sum107_out_gggga(X4385)
sum147_in_gggga(s(s(T623)), T624, T625, T626) → U178_gggga(sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623)))))))))
sum147_in_gggga(s(0), T3720, T3721, T3722) → U179_gggga(sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720))))
sum147_in_gggga(0, T3739, T3740, T3741) → U180_gggga(sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739))))
U178_gggga(sum158_out_ggggga(X1226)) → sum147_out_gggga(X1226)
U179_gggga(sum385_out_ggga(X4175)) → sum147_out_gggga(X4175)
U180_gggga(sum385_out_ggga(X4205)) → sum147_out_gggga(X4205)
sum158_in_ggggga(s(T657), T658, T659, T660, T661) → U62_ggggga(sum158_in_ggggga(T657, T658, s(T659), T660, T661))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836) → U63_ggggga(sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836))
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593) → U64_ggggga(sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590)))))
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618) → U65_ggggga(sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615)))))
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643) → U66_ggggga(sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640)))))
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668) → U67_ggggga(sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665)))))
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693) → U68_ggggga(sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690)))))
sum158_in_ggggga(0, [], T3705, T3706, T3707) → sum158_out_ggggga(.(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(sum158_out_ggggga(X1273)) → sum158_out_ggggga(X1273)
U63_ggggga(sum193_out_ggggga(X1507)) → sum158_out_ggggga(X1507)
U64_ggggga(sum385_out_ggga(X4021)) → sum158_out_ggggga(X4021)
U65_ggggga(sum385_out_ggga(X4051)) → sum158_out_ggggga(X4051)
U66_ggggga(sum385_out_ggga(X4081)) → sum158_out_ggggga(X4081)
U67_ggggga(sum385_out_ggga(X4111)) → sum158_out_ggggga(X4111)
U68_ggggga(sum385_out_ggga(X4141)) → sum158_out_ggggga(X4141)
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932) → U181_ggggga(sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928)))))))))
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518) → U182_ggggga(sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515)))))
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543) → U183_ggggga(sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540)))))
sum193_in_ggggga(0, T3565, T3566, T3567, T3568) → U184_ggggga(sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565)))))
U181_ggggga(sum209_out_gggggga(X1636)) → sum193_out_ggggga(X1636)
U182_ggggga(sum385_out_ggga(X3931)) → sum193_out_ggggga(X3931)
U183_ggggga(sum385_out_ggga(X3961)) → sum193_out_ggggga(X3961)
U184_ggggga(sum385_out_ggga(X3991)) → sum193_out_ggggga(X3991)
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974) → U69_gggggga(sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149) → U70_gggggga(sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149))
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387) → U71_gggggga(sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383))))))
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418) → U72_gggggga(sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414))))))
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449) → U73_gggggga(sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445))))))
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480) → U74_gggggga(sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476))))))
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498) → sum209_out_gggggga(.(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(sum209_out_gggggga(X1683)) → sum209_out_gggggga(X1683)
U70_gggggga(sum239_out_gggggga(X1876)) → sum209_out_gggggga(X1876)
U71_gggggga(sum385_out_ggga(X3807)) → sum209_out_gggggga(X3807)
U72_gggggga(sum385_out_ggga(X3837)) → sum209_out_gggggga(X3837)
U73_gggggga(sum385_out_ggga(X3867)) → sum209_out_gggggga(X3867)
U74_gggggga(sum385_out_ggga(X3897)) → sum209_out_gggggga(X3897)
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300) → U185_gggggga(sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295)))))))))
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263) → U186_gggggga(sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259))))))
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294) → U187_gggggga(sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290))))))
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325) → U188_gggggga(sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321))))))
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356) → U189_gggggga(sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352))))))
U185_gggggga(sum260_out_ggggggga(X2046)) → sum239_out_gggggga(X2046)
U186_gggggga(sum385_out_ggga(X3687)) → sum239_out_gggggga(X3687)
U187_gggggga(sum385_out_ggga(X3717)) → sum239_out_gggggga(X3717)
U188_gggggga(sum385_out_ggga(X3747)) → sum239_out_gggggga(X3747)
U189_gggggga(sum385_out_ggga(X3777)) → sum239_out_gggggga(X3777)
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349) → U75_ggggggga(sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512) → U76_ggggggga(sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512))
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142) → U77_ggggggga(sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137)))))))
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179) → U78_ggggggga(sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174)))))))
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216) → U79_ggggggga(sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211)))))))
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238) → sum260_out_ggggggga(.(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(sum260_out_ggggggga(X2093)) → sum260_out_ggggggga(X2093)
U76_ggggggga(sum285_out_ggggggga(X2245)) → sum260_out_ggggggga(X2245)
U77_ggggggga(sum385_out_ggga(X3593)) → sum260_out_ggggggga(X3593)
U78_ggggggga(sum385_out_ggga(X3623)) → sum260_out_ggggggga(X3623)
U79_ggggggga(sum385_out_ggga(X3653)) → sum260_out_ggggggga(X3653)
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730) → U190_ggggggga(sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724)))))))))
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957) → U191_ggggggga(sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952)))))))
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994) → U192_ggggggga(sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989)))))))
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031) → U193_ggggggga(sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026)))))))
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068) → U194_ggggggga(sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063)))))))
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105) → U195_ggggggga(sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100)))))))
U190_ggggggga(sum311_out_gggggggga(X2456)) → sum285_out_ggggggga(X2456)
U191_ggggggga(sum385_out_ggga(X3443)) → sum285_out_ggggggga(X3443)
U192_ggggggga(sum385_out_ggga(X3473)) → sum285_out_ggggggga(X3473)
U193_ggggggga(sum385_out_ggga(X3503)) → sum285_out_ggggggga(X3503)
U194_ggggggga(sum385_out_ggga(X3533)) → sum285_out_ggggggga(X3533)
U195_ggggggga(sum385_out_ggga(X3563)) → sum285_out_ggggggga(X3563)
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786) → U80_gggggggga(sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925) → U81_gggggggga(sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925))
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858) → U82_gggggggga(sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852))))))))
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901) → U83_gggggggga(sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895))))))))
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927) → sum311_out_gggggggga(.(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(sum311_out_gggggggga(X2503)) → sum311_out_gggggggga(X2503)
U81_gggggggga(sum331_out_gggggggga(X2614)) → sum311_out_gggggggga(X2614)
U82_gggggggga(sum385_out_ggga(X3379)) → sum311_out_gggggggga(X3379)
U83_gggggggga(sum385_out_ggga(X3409)) → sum311_out_gggggggga(X3409)
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222) → U196_gggggggga(sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215)))))))))
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600) → U197_gggggggga(sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594))))))))
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643) → U198_gggggggga(sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637))))))))
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686) → U199_gggggggga(sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680))))))))
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729) → U200_gggggggga(sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723))))))))
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772) → U201_gggggggga(sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766))))))))
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815) → U202_gggggggga(sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809))))))))
U196_gggggggga(sum362_out_ggggggggga(X2866)) → sum331_out_gggggggga(X2866)
U197_gggggggga(sum385_out_ggga(X3199)) → sum331_out_gggggggga(X3199)
U198_gggggggga(sum385_out_ggga(X3229)) → sum331_out_gggggggga(X3229)
U199_gggggggga(sum385_out_ggga(X3259)) → sum331_out_gggggggga(X3259)
U200_gggggggga(sum385_out_ggga(X3289)) → sum331_out_gggggggga(X3289)
U201_gggggggga(sum385_out_ggga(X3319)) → sum331_out_gggggggga(X3319)
U202_gggggggga(sum385_out_ggga(X3349)) → sum331_out_gggggggga(X3349)
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285) → U84_ggggggggga(sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388) → U85_ggggggggga(sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381)))))))))
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535) → U86_ggggggggga(sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528)))))))))
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565) → sum362_out_ggggggggga(.(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(sum362_out_ggggggggga(X2913)) → sum362_out_ggggggggga(X2913)
U85_ggggggggga(sum377_out_gggga(X2983)) → sum362_out_ggggggggga(X2983)
U86_ggggggggga(sum385_out_ggga(X3165)) → sum362_out_ggggggggga(X3165)

The set Q consists of the following terms:

sum10_in_ggga(x0, x1, x2)
sum2047_in_gga(x0, x1)
U203_ggga(x0)
U204_ggga(x0)
U205_ggga(x0)
U206_ggga(x0)
U207_ggga(x0)
U208_ggga(x0)
U209_ggga(x0)
U210_ggga(x0)
U211_gga(x0)
U212_gga(x0)
U213_gga(x0)
U214_gga(x0)
U215_gga(x0)
U216_gga(x0)
U217_gga(x0)
U218_gga(x0)
U219_gga(x0)
sum47_in_gggga(x0, x1, x2, x3)
sum1253_in_gga(x0, x1)
sum1373_in_gga(x0, x1)
sum1485_in_gga(x0, x1)
sum1597_in_gga(x0, x1)
sum1709_in_gga(x0, x1)
sum1821_in_gga(x0, x1)
sum1933_in_gga(x0, x1)
sum2007_in_gga(x0, x1)
sum2121_in_gga(x0, x1)
U1_gggga(x0)
U2_gggga(x0)
U93_gga(x0)
U94_gga(x0)
U95_gga(x0)
U96_gga(x0)
U97_gga(x0)
U98_gga(x0)
U99_gga(x0)
U100_gga(x0)
U101_gga(x0)
U104_gga(x0)
U105_gga(x0)
U106_gga(x0)
U107_gga(x0)
U108_gga(x0)
U109_gga(x0)
U110_gga(x0)
U111_gga(x0)
U112_gga(x0)
U115_gga(x0)
U116_gga(x0)
U117_gga(x0)
U118_gga(x0)
U119_gga(x0)
U120_gga(x0)
U121_gga(x0)
U122_gga(x0)
U123_gga(x0)
U126_gga(x0)
U127_gga(x0)
U128_gga(x0)
U129_gga(x0)
U130_gga(x0)
U131_gga(x0)
U132_gga(x0)
U133_gga(x0)
U134_gga(x0)
U137_gga(x0)
U138_gga(x0)
U139_gga(x0)
U140_gga(x0)
U141_gga(x0)
U142_gga(x0)
U143_gga(x0)
U144_gga(x0)
U145_gga(x0)
U148_gga(x0)
U149_gga(x0)
U150_gga(x0)
U151_gga(x0)
U152_gga(x0)
U153_gga(x0)
U154_gga(x0)
U155_gga(x0)
U156_gga(x0)
U159_gga(x0)
U160_gga(x0)
U161_gga(x0)
U162_gga(x0)
U163_gga(x0)
U164_gga(x0)
U165_gga(x0)
U166_gga(x0)
U167_gga(x0)
U157_gga(x0)
U158_gga(x0)
U168_gga(x0)
U169_gga(x0)
sum55_in_ggga(x0, x1, x2)
sum385_in_ggga(x0, x1, x2)
sum1335_in_gga(x0, x1)
sum1447_in_gga(x0, x1)
sum1559_in_gga(x0, x1)
sum1671_in_gga(x0, x1)
sum1783_in_gga(x0, x1)
sum1895_in_gga(x0, x1)
U3_ggga(x0)
U4_ggga(x0)
U5_ggga(x0)
U6_ggga(x0)
U7_ggga(x0)
U8_ggga(x0)
U9_ggga(x0)
U10_ggga(x0)
U11_ggga(x0)
U12_ggga(x0)
U13_ggga(x0)
U14_ggga(x0)
U15_ggga(x0)
U16_ggga(x0)
U17_ggga(x0)
U18_ggga(x0)
U19_ggga(x0)
U20_ggga(x0)
U21_ggga(x0)
U22_ggga(x0)
U23_ggga(x0)
U24_ggga(x0)
U25_ggga(x0)
U26_ggga(x0)
U27_ggga(x0)
U28_ggga(x0)
U29_ggga(x0)
U30_ggga(x0)
U31_ggga(x0)
U32_ggga(x0)
U33_ggga(x0)
U34_ggga(x0)
U35_ggga(x0)
U36_ggga(x0)
U37_ggga(x0)
U38_ggga(x0)
U39_ggga(x0)
U40_ggga(x0)
U41_ggga(x0)
U42_ggga(x0)
U43_ggga(x0)
U44_ggga(x0)
U45_ggga(x0)
U46_ggga(x0)
U47_ggga(x0)
U48_ggga(x0)
U49_ggga(x0)
U50_ggga(x0)
U51_ggga(x0)
U52_ggga(x0)
U53_ggga(x0)
U89_ggga(x0)
U90_ggga(x0)
U91_gga(x0)
U92_gga(x0)
U102_gga(x0)
U103_gga(x0)
U113_gga(x0)
U114_gga(x0)
U124_gga(x0)
U125_gga(x0)
U135_gga(x0)
U136_gga(x0)
U146_gga(x0)
U147_gga(x0)
sum101_in_ggga(x0, x1, x2)
sum377_in_gggga(x0, x1, x2, x3)
U170_ggga(x0)
U171_ggga(x0)
U172_ggga(x0)
U173_ggga(x0)
U174_ggga(x0)
U175_ggga(x0)
U176_ggga(x0)
U177_ggga(x0)
U87_gggga(x0)
U88_gggga(x0)
sum107_in_gggga(x0, x1, x2, x3)
U54_gggga(x0)
U55_gggga(x0)
U56_gggga(x0)
U57_gggga(x0)
U58_gggga(x0)
U59_gggga(x0)
U60_gggga(x0)
U61_gggga(x0)
sum147_in_gggga(x0, x1, x2, x3)
U178_gggga(x0)
U179_gggga(x0)
U180_gggga(x0)
sum158_in_ggggga(x0, x1, x2, x3, x4)
U62_ggggga(x0)
U63_ggggga(x0)
U64_ggggga(x0)
U65_ggggga(x0)
U66_ggggga(x0)
U67_ggggga(x0)
U68_ggggga(x0)
sum193_in_ggggga(x0, x1, x2, x3, x4)
U181_ggggga(x0)
U182_ggggga(x0)
U183_ggggga(x0)
U184_ggggga(x0)
sum209_in_gggggga(x0, x1, x2, x3, x4, x5)
U69_gggggga(x0)
U70_gggggga(x0)
U71_gggggga(x0)
U72_gggggga(x0)
U73_gggggga(x0)
U74_gggggga(x0)
sum239_in_gggggga(x0, x1, x2, x3, x4, x5)
U185_gggggga(x0)
U186_gggggga(x0)
U187_gggggga(x0)
U188_gggggga(x0)
U189_gggggga(x0)
sum260_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U75_ggggggga(x0)
U76_ggggggga(x0)
U77_ggggggga(x0)
U78_ggggggga(x0)
U79_ggggggga(x0)
sum285_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U190_ggggggga(x0)
U191_ggggggga(x0)
U192_ggggggga(x0)
U193_ggggggga(x0)
U194_ggggggga(x0)
U195_ggggggga(x0)
sum311_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U80_gggggggga(x0)
U81_gggggggga(x0)
U82_gggggggga(x0)
U83_gggggggga(x0)
sum331_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U196_gggggggga(x0)
U197_gggggggga(x0)
U198_gggggggga(x0)
U199_gggggggga(x0)
U200_gggggggga(x0)
U201_gggggggga(x0)
U202_gggggggga(x0)
sum362_in_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U84_ggggggggga(x0)
U85_ggggggggga(x0)
U86_ggggggggga(x0)

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

(133) PrologToPiTRSProof (SOUND transformation)

We use the technique of [LOPSTR]. With regard to the inferred argument filtering the predicates were used in the following modes:
weight1_in: (b,f)
sum10_in: (b,b,b,f)
sum47_in: (b,b,b,b,f)
sum55_in: (b,b,b,f)
sum101_in: (b,b,b,f)
sum107_in: (b,b,b,b,f)
sum147_in: (b,b,b,b,f)
sum158_in: (b,b,b,b,b,f)
sum193_in: (b,b,b,b,b,f)
sum209_in: (b,b,b,b,b,b,f)
sum239_in: (b,b,b,b,b,b,f)
sum260_in: (b,b,b,b,b,b,b,f)
sum285_in: (b,b,b,b,b,b,b,f)
sum311_in: (b,b,b,b,b,b,b,b,f)
sum331_in: (b,b,b,b,b,b,b,b,f)
sum362_in: (b,b,b,b,b,b,b,b,b,f)
sum377_in: (b,b,b,b,f)
sum385_in: (b,b,b,f)
sum1253_in: (b,b,f)
sum1335_in: (b,b,f)
sum1373_in: (b,b,f)
sum1447_in: (b,b,f)
sum1485_in: (b,b,f)
sum1559_in: (b,b,f)
sum1597_in: (b,b,f)
sum1671_in: (b,b,f)
sum1709_in: (b,b,f)
sum1783_in: (b,b,f)
sum1821_in: (b,b,f)
sum1895_in: (b,b,f)
sum1933_in: (b,b,f)
sum2007_in: (b,b,f)
sum2047_in: (b,b,f)
sum2121_in: (b,b,f)
Transforming Prolog into the following Term Rewriting System:
Pi-finite rewrite system:
The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)

Infinitary Constructor Rewriting Termination of PiTRS implies Termination of Prolog

(134) Obligation:

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

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)

(135) DependencyPairsProof (EQUIVALENT transformation)

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

WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U220_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → SUM10_IN_GGGA(T24, T25, T26, X43)
SUM10_IN_GGGA(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_GGGA(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
SUM10_IN_GGGA(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → SUM47_IN_GGGGA(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)
SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → U1_GGGGA(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → SUM47_IN_GGGGA(T181, T182, T183, s(T184), X383)
SUM47_IN_GGGGA(0, T201, T202, T203, X414) → U2_GGGGA(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
SUM47_IN_GGGGA(0, T201, T202, T203, X414) → SUM55_IN_GGGA(T201, T202, T203, X414)
SUM55_IN_GGGA(s(T219), T220, T221, X453) → U3_GGGA(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
SUM55_IN_GGGA(s(T219), T220, T221, X453) → SUM55_IN_GGGA(T219, T220, s(T221), X453)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_GGGA(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → SUM101_IN_GGGA(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)
SUM101_IN_GGGA(s(T380), T381, T382, X816) → U170_GGGA(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
SUM101_IN_GGGA(s(T380), T381, T382, X816) → SUM107_IN_GGGGA(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)
SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → U54_GGGGA(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → SUM107_IN_GGGGA(T407, T408, s(T409), T410, X863)
SUM107_IN_GGGGA(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_GGGGA(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
SUM107_IN_GGGGA(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → SUM147_IN_GGGGA(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)
SUM147_IN_GGGGA(s(s(T623)), T624, T625, T626, X1226) → U178_GGGGA(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
SUM147_IN_GGGGA(s(s(T623)), T624, T625, T626, X1226) → SUM158_IN_GGGGGA(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)
SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → U62_GGGGGA(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661, X1273)
SUM158_IN_GGGGGA(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_GGGGGA(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
SUM158_IN_GGGGGA(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → SUM193_IN_GGGGGA(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)
SUM193_IN_GGGGGA(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_GGGGGA(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
SUM193_IN_GGGGGA(s(s(s(T928))), T929, T930, T931, T932, X1636) → SUM209_IN_GGGGGGA(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)
SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → U69_GGGGGGA(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974, X1683)
SUM209_IN_GGGGGGA(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_GGGGGGA(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
SUM209_IN_GGGGGGA(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → SUM239_IN_GGGGGGA(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)
SUM239_IN_GGGGGGA(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_GGGGGGA(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
SUM239_IN_GGGGGGA(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → SUM260_IN_GGGGGGGA(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)
SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_GGGGGGGA(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)
SUM260_IN_GGGGGGGA(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_GGGGGGGA(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
SUM260_IN_GGGGGGGA(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → SUM285_IN_GGGGGGGA(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)
SUM285_IN_GGGGGGGA(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_GGGGGGGA(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
SUM285_IN_GGGGGGGA(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → SUM311_IN_GGGGGGGGA(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)
SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_GGGGGGGGA(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)
SUM311_IN_GGGGGGGGA(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_GGGGGGGGA(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
SUM311_IN_GGGGGGGGA(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → SUM331_IN_GGGGGGGGA(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)
SUM331_IN_GGGGGGGGA(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_GGGGGGGGA(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
SUM331_IN_GGGGGGGGA(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → SUM362_IN_GGGGGGGGGA(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)
SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_GGGGGGGGGA(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)
SUM362_IN_GGGGGGGGGA(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_GGGGGGGGGA(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
SUM362_IN_GGGGGGGGGA(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → SUM377_IN_GGGGA(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → U87_GGGGA(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423, X3030)
SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → U88_GGGGA(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → SUM385_IN_GGGA(T2440, T2441, T2442, X3061)
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → U89_GGGA(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466, X3100)
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → U90_GGGA(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → SUM385_IN_GGGA(T2483, T2484, T2485, X3131)
SUM362_IN_GGGGGGGGGA(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_GGGGGGGGGA(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
SUM362_IN_GGGGGGGGGA(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → SUM385_IN_GGGA(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)
SUM331_IN_GGGGGGGGA(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_GGGGGGGGA(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
SUM331_IN_GGGGGGGGA(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → SUM385_IN_GGGA(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)
SUM331_IN_GGGGGGGGA(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_GGGGGGGGA(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
SUM331_IN_GGGGGGGGA(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → SUM385_IN_GGGA(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)
SUM331_IN_GGGGGGGGA(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_GGGGGGGGA(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
SUM331_IN_GGGGGGGGA(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → SUM385_IN_GGGA(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)
SUM331_IN_GGGGGGGGA(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_GGGGGGGGA(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
SUM331_IN_GGGGGGGGA(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → SUM385_IN_GGGA(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)
SUM331_IN_GGGGGGGGA(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_GGGGGGGGA(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
SUM331_IN_GGGGGGGGA(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → SUM385_IN_GGGA(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)
SUM331_IN_GGGGGGGGA(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_GGGGGGGGA(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
SUM331_IN_GGGGGGGGA(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → SUM385_IN_GGGA(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)
SUM311_IN_GGGGGGGGA(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_GGGGGGGGA(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
SUM311_IN_GGGGGGGGA(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → SUM385_IN_GGGA(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)
SUM311_IN_GGGGGGGGA(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_GGGGGGGGA(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
SUM311_IN_GGGGGGGGA(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → SUM385_IN_GGGA(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)
SUM285_IN_GGGGGGGA(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_GGGGGGGA(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
SUM285_IN_GGGGGGGA(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → SUM385_IN_GGGA(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)
SUM285_IN_GGGGGGGA(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_GGGGGGGA(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
SUM285_IN_GGGGGGGA(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → SUM385_IN_GGGA(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)
SUM285_IN_GGGGGGGA(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_GGGGGGGA(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
SUM285_IN_GGGGGGGA(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → SUM385_IN_GGGA(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)
SUM285_IN_GGGGGGGA(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_GGGGGGGA(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
SUM285_IN_GGGGGGGA(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → SUM385_IN_GGGA(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)
SUM285_IN_GGGGGGGA(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_GGGGGGGA(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
SUM285_IN_GGGGGGGA(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → SUM385_IN_GGGA(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)
SUM260_IN_GGGGGGGA(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_GGGGGGGA(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
SUM260_IN_GGGGGGGA(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → SUM385_IN_GGGA(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)
SUM260_IN_GGGGGGGA(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_GGGGGGGA(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
SUM260_IN_GGGGGGGA(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → SUM385_IN_GGGA(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)
SUM260_IN_GGGGGGGA(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_GGGGGGGA(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
SUM260_IN_GGGGGGGA(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → SUM385_IN_GGGA(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)
SUM239_IN_GGGGGGA(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_GGGGGGA(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
SUM239_IN_GGGGGGA(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → SUM385_IN_GGGA(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)
SUM239_IN_GGGGGGA(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_GGGGGGA(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
SUM239_IN_GGGGGGA(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → SUM385_IN_GGGA(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)
SUM239_IN_GGGGGGA(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_GGGGGGA(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
SUM239_IN_GGGGGGA(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → SUM385_IN_GGGA(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)
SUM239_IN_GGGGGGA(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_GGGGGGA(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
SUM239_IN_GGGGGGA(0, T3352, T3353, T3354, T3355, T3356, X3777) → SUM385_IN_GGGA(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)
SUM209_IN_GGGGGGA(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_GGGGGGA(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
SUM209_IN_GGGGGGA(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → SUM385_IN_GGGA(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)
SUM209_IN_GGGGGGA(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_GGGGGGA(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
SUM209_IN_GGGGGGA(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → SUM385_IN_GGGA(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)
SUM209_IN_GGGGGGA(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_GGGGGGA(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
SUM209_IN_GGGGGGA(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → SUM385_IN_GGGA(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)
SUM209_IN_GGGGGGA(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_GGGGGGA(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
SUM209_IN_GGGGGGA(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → SUM385_IN_GGGA(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)
SUM193_IN_GGGGGA(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_GGGGGA(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
SUM193_IN_GGGGGA(s(s(0)), T3515, T3516, T3517, T3518, X3931) → SUM385_IN_GGGA(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)
SUM193_IN_GGGGGA(s(0), T3540, T3541, T3542, T3543, X3961) → U183_GGGGGA(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
SUM193_IN_GGGGGA(s(0), T3540, T3541, T3542, T3543, X3961) → SUM385_IN_GGGA(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)
SUM193_IN_GGGGGA(0, T3565, T3566, T3567, T3568, X3991) → U184_GGGGGA(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
SUM193_IN_GGGGGA(0, T3565, T3566, T3567, T3568, X3991) → SUM385_IN_GGGA(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)
SUM158_IN_GGGGGA(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_GGGGGA(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
SUM158_IN_GGGGGA(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → SUM385_IN_GGGA(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)
SUM158_IN_GGGGGA(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_GGGGGA(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
SUM158_IN_GGGGGA(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → SUM385_IN_GGGA(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)
SUM158_IN_GGGGGA(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_GGGGGA(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
SUM158_IN_GGGGGA(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → SUM385_IN_GGGA(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)
SUM158_IN_GGGGGA(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_GGGGGA(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
SUM158_IN_GGGGGA(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → SUM385_IN_GGGA(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)
SUM158_IN_GGGGGA(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_GGGGGA(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
SUM158_IN_GGGGGA(0, .(0, T3690), T3691, T3692, T3693, X4141) → SUM385_IN_GGGA(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)
SUM147_IN_GGGGA(s(0), T3720, T3721, T3722, X4175) → U179_GGGGA(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
SUM147_IN_GGGGA(s(0), T3720, T3721, T3722, X4175) → SUM385_IN_GGGA(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)
SUM147_IN_GGGGA(0, T3739, T3740, T3741, X4205) → U180_GGGGA(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
SUM147_IN_GGGGA(0, T3739, T3740, T3741, X4205) → SUM385_IN_GGGA(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)
SUM107_IN_GGGGA(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_GGGGA(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
SUM107_IN_GGGGA(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → SUM385_IN_GGGA(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)
SUM107_IN_GGGGA(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_GGGGA(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
SUM107_IN_GGGGA(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → SUM385_IN_GGGA(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)
SUM107_IN_GGGGA(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_GGGGA(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
SUM107_IN_GGGGA(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → SUM385_IN_GGGA(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)
SUM107_IN_GGGGA(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_GGGGA(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
SUM107_IN_GGGGA(0, .(s(s(0)), T3815), T3816, T3817, X4325) → SUM385_IN_GGGA(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)
SUM107_IN_GGGGA(0, .(s(0), T3834), T3835, T3836, X4355) → U60_GGGGA(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
SUM107_IN_GGGGA(0, .(s(0), T3834), T3835, T3836, X4355) → SUM385_IN_GGGA(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)
SUM107_IN_GGGGA(0, .(0, T3853), T3854, T3855, X4385) → U61_GGGGA(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
SUM107_IN_GGGGA(0, .(0, T3853), T3854, T3855, X4385) → SUM385_IN_GGGA(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)
SUM101_IN_GGGA(0, .(s(T3891), T3892), T3893, X4458) → U171_GGGA(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
SUM101_IN_GGGA(0, .(s(T3891), T3892), T3893, X4458) → SUM385_IN_GGGA(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)
SUM101_IN_GGGA(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_GGGA(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
SUM101_IN_GGGA(0, .(0, .(s(T3922), T3923)), T3924, X4528) → SUM385_IN_GGGA(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)
SUM101_IN_GGGA(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_GGGA(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
SUM101_IN_GGGA(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → SUM385_IN_GGGA(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_GGGA(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → SUM385_IN_GGGA(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_GGGA(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → SUM385_IN_GGGA(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_GGGA(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → SUM385_IN_GGGA(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_GGGA(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → SUM385_IN_GGGA(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_GGGA(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → SUM385_IN_GGGA(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_GGGA(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → SUM385_IN_GGGA(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_GGGA(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → SUM385_IN_GGGA(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_GGGA(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → SUM385_IN_GGGA(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_GGGA(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → SUM385_IN_GGGA(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_GGGA(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → SUM385_IN_GGGA(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_GGGA(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → SUM385_IN_GGGA(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_GGGA(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → SUM385_IN_GGGA(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_GGGA(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → SUM385_IN_GGGA(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_GGGA(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → SUM385_IN_GGGA(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_GGGA(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → SUM385_IN_GGGA(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_GGGA(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → SUM385_IN_GGGA(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_GGGA(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → SUM385_IN_GGGA(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_GGGA(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → SUM385_IN_GGGA(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_GGGA(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → SUM385_IN_GGGA(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_GGGA(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → SUM385_IN_GGGA(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_GGGA(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → SUM385_IN_GGGA(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_GGGA(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → SUM385_IN_GGGA(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_GGGA(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → SUM385_IN_GGGA(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_GGGA(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → SUM385_IN_GGGA(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_GGGA(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → SUM385_IN_GGGA(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_GGGA(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → SUM385_IN_GGGA(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_GGGA(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → SUM385_IN_GGGA(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_GGGA(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → SUM385_IN_GGGA(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_GGGA(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → SUM385_IN_GGGA(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_GGGA(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → SUM385_IN_GGGA(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_GGGA(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → SUM385_IN_GGGA(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_GGGA(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → SUM385_IN_GGGA(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)
SUM55_IN_GGGA(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_GGGA(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
SUM55_IN_GGGA(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → SUM385_IN_GGGA(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_GGGA(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → SUM385_IN_GGGA(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_GGGA(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → SUM385_IN_GGGA(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_GGGA(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → SUM385_IN_GGGA(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_GGGA(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → SUM385_IN_GGGA(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_GGGA(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → SUM385_IN_GGGA(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_GGGA(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → SUM385_IN_GGGA(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)
SUM55_IN_GGGA(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_GGGA(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
SUM55_IN_GGGA(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → SUM385_IN_GGGA(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)
SUM55_IN_GGGA(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_GGGA(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
SUM55_IN_GGGA(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → SUM385_IN_GGGA(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_GGGA(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → SUM385_IN_GGGA(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_GGGA(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → SUM385_IN_GGGA(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_GGGA(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → SUM385_IN_GGGA(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_GGGA(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → SUM385_IN_GGGA(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_GGGA(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → SUM385_IN_GGGA(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)
SUM55_IN_GGGA(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_GGGA(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
SUM55_IN_GGGA(0, .(0, .(s(T5445), T5446)), T5447, X7818) → SUM385_IN_GGGA(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)
SUM55_IN_GGGA(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_GGGA(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
SUM55_IN_GGGA(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → SUM385_IN_GGGA(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_GGGA(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → SUM385_IN_GGGA(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_GGGA(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → SUM385_IN_GGGA(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_GGGA(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → SUM385_IN_GGGA(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_GGGA(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → SUM385_IN_GGGA(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_GGGA(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → SUM385_IN_GGGA(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)
SUM10_IN_GGGA(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_GGGA(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
SUM10_IN_GGGA(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → SUM1253_IN_GGA(T5653, T5654, X8264)
SUM1253_IN_GGA(s(T5665), T5666, X8303) → U93_GGA(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
SUM1253_IN_GGA(s(T5665), T5666, X8303) → SUM55_IN_GGGA(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)
SUM1253_IN_GGA(0, .(s(T5688), T5689), X8379) → U94_GGA(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
SUM1253_IN_GGA(0, .(s(T5688), T5689), X8379) → SUM385_IN_GGGA(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)
SUM1253_IN_GGA(0, .(0, .(s(T5711), T5712)), X8455) → U95_GGA(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
SUM1253_IN_GGA(0, .(0, .(s(T5711), T5712)), X8455) → SUM385_IN_GGGA(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)
SUM1253_IN_GGA(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_GGA(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
SUM1253_IN_GGA(0, .(0, .(0, .(s(T5734), T5735))), X8531) → SUM385_IN_GGGA(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_GGA(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → SUM385_IN_GGGA(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_GGA(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → SUM385_IN_GGGA(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_GGA(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → SUM385_IN_GGGA(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_GGA(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → SUM385_IN_GGGA(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_GGA(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → SUM1335_IN_GGA(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
SUM1335_IN_GGA(.(s(T5859), T5860), T5861, X8917) → U91_GGA(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
SUM1335_IN_GGA(.(s(T5859), T5860), T5861, X8917) → SUM385_IN_GGGA(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)
SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → U92_GGA(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → SUM1335_IN_GGA(T5873, T5874, X8948)
SUM10_IN_GGGA(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_GGGA(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
SUM10_IN_GGGA(s(s(s(s(s(0))))), T5889, T5890, X9011) → SUM1373_IN_GGA(T5889, T5890, X9011)
SUM1373_IN_GGA(s(T5901), T5902, X9050) → U104_GGA(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
SUM1373_IN_GGA(s(T5901), T5902, X9050) → SUM1253_IN_GGA(T5901, T5902, X9050)
SUM1373_IN_GGA(0, .(s(T5920), T5921), X9120) → U105_GGA(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
SUM1373_IN_GGA(0, .(s(T5920), T5921), X9120) → SUM1335_IN_GGA(.(T5920, T5921), .(s(T5920), T5921), X9120)
SUM1373_IN_GGA(0, .(0, .(s(T5939), T5940)), X9190) → U106_GGA(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
SUM1373_IN_GGA(0, .(0, .(s(T5939), T5940)), X9190) → SUM1335_IN_GGA(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)
SUM1373_IN_GGA(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_GGA(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
SUM1373_IN_GGA(0, .(0, .(0, .(s(T5958), T5959))), X9260) → SUM1335_IN_GGA(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_GGA(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → SUM1335_IN_GGA(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_GGA(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → SUM1335_IN_GGA(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_GGA(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → SUM1335_IN_GGA(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_GGA(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → SUM1335_IN_GGA(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_GGA(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → SUM1447_IN_GGA(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
SUM1447_IN_GGA(.(s(T6061), T6062), T6063, X9616) → U102_GGA(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
SUM1447_IN_GGA(.(s(T6061), T6062), T6063, X9616) → SUM1335_IN_GGA(.(T6061, T6062), T6063, X9616)
SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → U103_GGA(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → SUM1447_IN_GGA(T6075, T6076, X9647)
SUM10_IN_GGGA(s(s(s(s(0)))), T6091, T6092, X9710) → U206_GGGA(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
SUM10_IN_GGGA(s(s(s(s(0)))), T6091, T6092, X9710) → SUM1485_IN_GGA(T6091, T6092, X9710)
SUM1485_IN_GGA(s(T6103), T6104, X9749) → U115_GGA(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
SUM1485_IN_GGA(s(T6103), T6104, X9749) → SUM1373_IN_GGA(T6103, T6104, X9749)
SUM1485_IN_GGA(0, .(s(T6122), T6123), X9819) → U116_GGA(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
SUM1485_IN_GGA(0, .(s(T6122), T6123), X9819) → SUM1447_IN_GGA(.(T6122, T6123), .(s(T6122), T6123), X9819)
SUM1485_IN_GGA(0, .(0, .(s(T6141), T6142)), X9889) → U117_GGA(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
SUM1485_IN_GGA(0, .(0, .(s(T6141), T6142)), X9889) → SUM1447_IN_GGA(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)
SUM1485_IN_GGA(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_GGA(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
SUM1485_IN_GGA(0, .(0, .(0, .(s(T6160), T6161))), X9959) → SUM1447_IN_GGA(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_GGA(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → SUM1447_IN_GGA(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_GGA(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → SUM1447_IN_GGA(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_GGA(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → SUM1447_IN_GGA(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_GGA(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → SUM1447_IN_GGA(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_GGA(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → SUM1559_IN_GGA(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
SUM1559_IN_GGA(.(s(T6263), T6264), T6265, X10315) → U113_GGA(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
SUM1559_IN_GGA(.(s(T6263), T6264), T6265, X10315) → SUM1447_IN_GGA(.(T6263, T6264), T6265, X10315)
SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → U114_GGA(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → SUM1559_IN_GGA(T6277, T6278, X10346)
SUM10_IN_GGGA(s(s(s(0))), T6293, T6294, X10409) → U207_GGGA(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
SUM10_IN_GGGA(s(s(s(0))), T6293, T6294, X10409) → SUM1597_IN_GGA(T6293, T6294, X10409)
SUM1597_IN_GGA(s(T6305), T6306, X10448) → U126_GGA(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
SUM1597_IN_GGA(s(T6305), T6306, X10448) → SUM1485_IN_GGA(T6305, T6306, X10448)
SUM1597_IN_GGA(0, .(s(T6324), T6325), X10518) → U127_GGA(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
SUM1597_IN_GGA(0, .(s(T6324), T6325), X10518) → SUM1559_IN_GGA(.(T6324, T6325), .(s(T6324), T6325), X10518)
SUM1597_IN_GGA(0, .(0, .(s(T6343), T6344)), X10588) → U128_GGA(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
SUM1597_IN_GGA(0, .(0, .(s(T6343), T6344)), X10588) → SUM1559_IN_GGA(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)
SUM1597_IN_GGA(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_GGA(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
SUM1597_IN_GGA(0, .(0, .(0, .(s(T6362), T6363))), X10658) → SUM1559_IN_GGA(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_GGA(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → SUM1559_IN_GGA(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_GGA(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → SUM1559_IN_GGA(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_GGA(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → SUM1559_IN_GGA(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_GGA(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → SUM1559_IN_GGA(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_GGA(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → SUM1671_IN_GGA(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
SUM1671_IN_GGA(.(s(T6465), T6466), T6467, X11014) → U124_GGA(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
SUM1671_IN_GGA(.(s(T6465), T6466), T6467, X11014) → SUM1559_IN_GGA(.(T6465, T6466), T6467, X11014)
SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → U125_GGA(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → SUM1671_IN_GGA(T6479, T6480, X11045)
SUM10_IN_GGGA(s(s(0)), T6495, T6496, X11108) → U208_GGGA(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
SUM10_IN_GGGA(s(s(0)), T6495, T6496, X11108) → SUM1709_IN_GGA(T6495, T6496, X11108)
SUM1709_IN_GGA(s(T6507), T6508, X11147) → U137_GGA(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
SUM1709_IN_GGA(s(T6507), T6508, X11147) → SUM1597_IN_GGA(T6507, T6508, X11147)
SUM1709_IN_GGA(0, .(s(T6526), T6527), X11217) → U138_GGA(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
SUM1709_IN_GGA(0, .(s(T6526), T6527), X11217) → SUM1671_IN_GGA(.(T6526, T6527), .(s(T6526), T6527), X11217)
SUM1709_IN_GGA(0, .(0, .(s(T6545), T6546)), X11287) → U139_GGA(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
SUM1709_IN_GGA(0, .(0, .(s(T6545), T6546)), X11287) → SUM1671_IN_GGA(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)
SUM1709_IN_GGA(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_GGA(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
SUM1709_IN_GGA(0, .(0, .(0, .(s(T6564), T6565))), X11357) → SUM1671_IN_GGA(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_GGA(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → SUM1671_IN_GGA(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_GGA(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → SUM1671_IN_GGA(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_GGA(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → SUM1671_IN_GGA(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_GGA(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → SUM1671_IN_GGA(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_GGA(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → SUM1783_IN_GGA(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
SUM1783_IN_GGA(.(s(T6667), T6668), T6669, X11713) → U135_GGA(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
SUM1783_IN_GGA(.(s(T6667), T6668), T6669, X11713) → SUM1671_IN_GGA(.(T6667, T6668), T6669, X11713)
SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → U136_GGA(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → SUM1783_IN_GGA(T6681, T6682, X11744)
SUM10_IN_GGGA(s(0), T6697, T6698, X11807) → U209_GGGA(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
SUM10_IN_GGGA(s(0), T6697, T6698, X11807) → SUM1821_IN_GGA(T6697, T6698, X11807)
SUM1821_IN_GGA(s(T6709), T6710, X11846) → U148_GGA(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
SUM1821_IN_GGA(s(T6709), T6710, X11846) → SUM1709_IN_GGA(T6709, T6710, X11846)
SUM1821_IN_GGA(0, .(s(T6728), T6729), X11916) → U149_GGA(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
SUM1821_IN_GGA(0, .(s(T6728), T6729), X11916) → SUM1783_IN_GGA(.(T6728, T6729), .(s(T6728), T6729), X11916)
SUM1821_IN_GGA(0, .(0, .(s(T6747), T6748)), X11986) → U150_GGA(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
SUM1821_IN_GGA(0, .(0, .(s(T6747), T6748)), X11986) → SUM1783_IN_GGA(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)
SUM1821_IN_GGA(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_GGA(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
SUM1821_IN_GGA(0, .(0, .(0, .(s(T6766), T6767))), X12056) → SUM1783_IN_GGA(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_GGA(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → SUM1783_IN_GGA(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_GGA(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → SUM1783_IN_GGA(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_GGA(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → SUM1783_IN_GGA(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_GGA(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → SUM1783_IN_GGA(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_GGA(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → SUM1895_IN_GGA(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
SUM1895_IN_GGA(.(s(T6869), T6870), T6871, X12412) → U146_GGA(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
SUM1895_IN_GGA(.(s(T6869), T6870), T6871, X12412) → SUM1783_IN_GGA(.(T6869, T6870), T6871, X12412)
SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → U147_GGA(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → SUM1895_IN_GGA(T6883, T6884, X12443)
SUM10_IN_GGGA(0, T6899, T6900, X12506) → U210_GGGA(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
SUM10_IN_GGGA(0, T6899, T6900, X12506) → SUM1933_IN_GGA(T6899, T6900, X12506)
SUM1933_IN_GGA(s(T6911), T6912, X12545) → U159_GGA(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
SUM1933_IN_GGA(s(T6911), T6912, X12545) → SUM1821_IN_GGA(T6911, T6912, X12545)
SUM1933_IN_GGA(0, .(s(T6930), T6931), X12615) → U160_GGA(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
SUM1933_IN_GGA(0, .(s(T6930), T6931), X12615) → SUM1895_IN_GGA(.(T6930, T6931), .(s(T6930), T6931), X12615)
SUM1933_IN_GGA(0, .(0, .(s(T6949), T6950)), X12685) → U161_GGA(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
SUM1933_IN_GGA(0, .(0, .(s(T6949), T6950)), X12685) → SUM1895_IN_GGA(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)
SUM1933_IN_GGA(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_GGA(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
SUM1933_IN_GGA(0, .(0, .(0, .(s(T6968), T6969))), X12755) → SUM1895_IN_GGA(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_GGA(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → SUM1895_IN_GGA(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_GGA(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → SUM1895_IN_GGA(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_GGA(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → SUM1895_IN_GGA(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_GGA(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → SUM1895_IN_GGA(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_GGA(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → SUM2007_IN_GGA(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
SUM2007_IN_GGA(.(s(T7071), T7072), T7073, X13111) → U157_GGA(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
SUM2007_IN_GGA(.(s(T7071), T7072), T7073, X13111) → SUM1895_IN_GGA(.(T7071, T7072), T7073, X13111)
SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → U158_GGA(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → SUM2007_IN_GGA(T7085, T7086, X13142)
WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U221_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_GA(T24, T25, T26, T11, weight1_in_ga(T30, T11))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30, T11)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U223_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → SUM2047_IN_GGA(T7105, T7106, X13210)
SUM2047_IN_GGA(s(T7120), T7121, X13255) → U211_GGA(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
SUM2047_IN_GGA(s(T7120), T7121, X13255) → SUM1933_IN_GGA(T7120, T7121, X13255)
SUM2047_IN_GGA(0, .(s(T7139), T7140), X13325) → U212_GGA(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
SUM2047_IN_GGA(0, .(s(T7139), T7140), X13325) → SUM2007_IN_GGA(.(T7139, T7140), .(s(T7139), T7140), X13325)
SUM2047_IN_GGA(0, .(0, .(s(T7158), T7159)), X13395) → U213_GGA(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
SUM2047_IN_GGA(0, .(0, .(s(T7158), T7159)), X13395) → SUM2007_IN_GGA(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)
SUM2047_IN_GGA(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_GGA(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
SUM2047_IN_GGA(0, .(0, .(0, .(s(T7177), T7178))), X13465) → SUM2007_IN_GGA(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_GGA(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → SUM2007_IN_GGA(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_GGA(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → SUM2007_IN_GGA(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_GGA(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → SUM2007_IN_GGA(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_GGA(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → SUM2007_IN_GGA(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_GGA(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → SUM2121_IN_GGA(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
SUM2121_IN_GGA(.(s(T7280), T7281), T7282, X13821) → U168_GGA(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
SUM2121_IN_GGA(.(s(T7280), T7281), T7282, X13821) → SUM2007_IN_GGA(.(T7280, T7281), T7282, X13821)
SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → U169_GGA(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → SUM2121_IN_GGA(T7294, T7295, X13852)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U224_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_GA(T7105, T7106, T11, weight1_in_ga(T7109, T11))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → WEIGHT1_IN_GA(T7109, T11)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
WEIGHT1_IN_GA(x1, x2)  =  WEIGHT1_IN_GA(x1)
U220_GA(x1, x2, x3, x4, x5)  =  U220_GA(x1, x2, x3, x5)
SUM10_IN_GGGA(x1, x2, x3, x4)  =  SUM10_IN_GGGA(x1, x2, x3)
U203_GGGA(x1, x2, x3, x4, x5)  =  U203_GGGA(x1, x2, x3, x5)
SUM47_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM47_IN_GGGGA(x1, x2, x3, x4)
U1_GGGGA(x1, x2, x3, x4, x5, x6)  =  U1_GGGGA(x1, x2, x3, x4, x6)
U2_GGGGA(x1, x2, x3, x4, x5)  =  U2_GGGGA(x1, x2, x3, x5)
SUM55_IN_GGGA(x1, x2, x3, x4)  =  SUM55_IN_GGGA(x1, x2, x3)
U3_GGGA(x1, x2, x3, x4, x5)  =  U3_GGGA(x1, x2, x3, x5)
U4_GGGA(x1, x2, x3, x4, x5)  =  U4_GGGA(x1, x2, x3, x5)
SUM101_IN_GGGA(x1, x2, x3, x4)  =  SUM101_IN_GGGA(x1, x2, x3)
U170_GGGA(x1, x2, x3, x4, x5)  =  U170_GGGA(x1, x2, x3, x5)
SUM107_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM107_IN_GGGGA(x1, x2, x3, x4)
U54_GGGGA(x1, x2, x3, x4, x5, x6)  =  U54_GGGGA(x1, x2, x3, x4, x6)
U55_GGGGA(x1, x2, x3, x4, x5, x6)  =  U55_GGGGA(x1, x2, x3, x4, x6)
SUM147_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM147_IN_GGGGA(x1, x2, x3, x4)
U178_GGGGA(x1, x2, x3, x4, x5, x6)  =  U178_GGGGA(x1, x2, x3, x4, x6)
SUM158_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM158_IN_GGGGGA(x1, x2, x3, x4, x5)
U62_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U62_GGGGGA(x1, x2, x3, x4, x5, x7)
U63_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U63_GGGGGA(x1, x2, x3, x4, x5, x7)
SUM193_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM193_IN_GGGGGA(x1, x2, x3, x4, x5)
U181_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U181_GGGGGA(x1, x2, x3, x4, x5, x7)
SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)
U69_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_GGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U70_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_GGGGGGA(x1, x2, x3, x4, x5, x6, x8)
SUM239_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM239_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)
U185_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_GGGGGGA(x1, x2, x3, x4, x5, x6, x8)
SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)
U75_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U76_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
SUM285_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM285_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)
U190_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)
U80_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x10)
SUM331_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM331_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)
U196_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x10)
SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
SUM377_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM377_IN_GGGGA(x1, x2, x3, x4)
U87_GGGGA(x1, x2, x3, x4, x5, x6)  =  U87_GGGGA(x1, x2, x3, x4, x6)
U88_GGGGA(x1, x2, x3, x4, x5)  =  U88_GGGGA(x1, x2, x3, x5)
SUM385_IN_GGGA(x1, x2, x3, x4)  =  SUM385_IN_GGGA(x1, x2, x3)
U89_GGGA(x1, x2, x3, x4, x5, x6)  =  U89_GGGA(x1, x2, x3, x4, x6)
U90_GGGA(x1, x2, x3, x4, x5)  =  U90_GGGA(x1, x2, x3, x5)
U86_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U197_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U198_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U199_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U200_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U201_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U202_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U82_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U83_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U191_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U192_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U193_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U194_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U195_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U77_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U78_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U79_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U186_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U186_GGGGGGA(x1, x2, x3, x4, x5, x7)
U187_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U187_GGGGGGA(x1, x2, x3, x4, x5, x7)
U188_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U188_GGGGGGA(x1, x2, x3, x4, x5, x7)
U189_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U189_GGGGGGA(x1, x2, x3, x4, x5, x7)
U71_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U71_GGGGGGA(x1, x2, x3, x4, x5, x7)
U72_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U72_GGGGGGA(x1, x2, x3, x4, x5, x7)
U73_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U73_GGGGGGA(x1, x2, x3, x4, x5, x7)
U74_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U74_GGGGGGA(x1, x2, x3, x4, x5, x7)
U182_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U182_GGGGGA(x1, x2, x3, x4, x6)
U183_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U183_GGGGGA(x1, x2, x3, x4, x6)
U184_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U184_GGGGGA(x1, x2, x3, x4, x6)
U64_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U64_GGGGGA(x1, x2, x3, x4, x6)
U65_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U65_GGGGGA(x1, x2, x3, x4, x6)
U66_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U66_GGGGGA(x1, x2, x3, x4, x6)
U67_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U67_GGGGGA(x1, x2, x3, x4, x6)
U68_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U68_GGGGGA(x1, x2, x3, x4, x6)
U179_GGGGA(x1, x2, x3, x4, x5)  =  U179_GGGGA(x1, x2, x3, x5)
U180_GGGGA(x1, x2, x3, x4, x5)  =  U180_GGGGA(x1, x2, x3, x5)
U56_GGGGA(x1, x2, x3, x4, x5)  =  U56_GGGGA(x1, x2, x3, x5)
U57_GGGGA(x1, x2, x3, x4, x5)  =  U57_GGGGA(x1, x2, x3, x5)
U58_GGGGA(x1, x2, x3, x4, x5)  =  U58_GGGGA(x1, x2, x3, x5)
U59_GGGGA(x1, x2, x3, x4, x5)  =  U59_GGGGA(x1, x2, x3, x5)
U60_GGGGA(x1, x2, x3, x4, x5)  =  U60_GGGGA(x1, x2, x3, x5)
U61_GGGGA(x1, x2, x3, x4, x5)  =  U61_GGGGA(x1, x2, x3, x5)
U171_GGGA(x1, x2, x3, x4, x5)  =  U171_GGGA(x1, x2, x3, x5)
U172_GGGA(x1, x2, x3, x4, x5)  =  U172_GGGA(x1, x2, x3, x5)
U173_GGGA(x1, x2, x3, x4, x5)  =  U173_GGGA(x1, x2, x3, x5)
U174_GGGA(x1, x2, x3, x4, x5)  =  U174_GGGA(x1, x2, x3, x5)
U175_GGGA(x1, x2, x3, x4, x5)  =  U175_GGGA(x1, x2, x3, x5)
U176_GGGA(x1, x2, x3, x4, x5)  =  U176_GGGA(x1, x2, x3, x5)
U177_GGGA(x1, x2, x3, x4)  =  U177_GGGA(x1, x2, x4)
U5_GGGA(x1, x2, x3, x4, x5)  =  U5_GGGA(x1, x2, x3, x5)
U6_GGGA(x1, x2, x3, x4, x5)  =  U6_GGGA(x1, x2, x3, x5)
U7_GGGA(x1, x2, x3, x4, x5)  =  U7_GGGA(x1, x2, x3, x5)
U8_GGGA(x1, x2, x3, x4, x5)  =  U8_GGGA(x1, x2, x3, x5)
U9_GGGA(x1, x2, x3, x4, x5)  =  U9_GGGA(x1, x2, x3, x5)
U10_GGGA(x1, x2, x3, x4, x5)  =  U10_GGGA(x1, x2, x3, x5)
U11_GGGA(x1, x2, x3, x4)  =  U11_GGGA(x1, x2, x4)
U12_GGGA(x1, x2, x3, x4, x5)  =  U12_GGGA(x1, x2, x3, x5)
U13_GGGA(x1, x2, x3, x4, x5)  =  U13_GGGA(x1, x2, x3, x5)
U14_GGGA(x1, x2, x3, x4, x5)  =  U14_GGGA(x1, x2, x3, x5)
U15_GGGA(x1, x2, x3, x4, x5)  =  U15_GGGA(x1, x2, x3, x5)
U16_GGGA(x1, x2, x3, x4, x5)  =  U16_GGGA(x1, x2, x3, x5)
U17_GGGA(x1, x2, x3, x4, x5)  =  U17_GGGA(x1, x2, x3, x5)
U18_GGGA(x1, x2, x3, x4)  =  U18_GGGA(x1, x2, x4)
U19_GGGA(x1, x2, x3, x4, x5)  =  U19_GGGA(x1, x2, x3, x5)
U20_GGGA(x1, x2, x3, x4, x5)  =  U20_GGGA(x1, x2, x3, x5)
U21_GGGA(x1, x2, x3, x4, x5)  =  U21_GGGA(x1, x2, x3, x5)
U22_GGGA(x1, x2, x3, x4, x5)  =  U22_GGGA(x1, x2, x3, x5)
U23_GGGA(x1, x2, x3, x4, x5)  =  U23_GGGA(x1, x2, x3, x5)
U24_GGGA(x1, x2, x3, x4, x5)  =  U24_GGGA(x1, x2, x3, x5)
U25_GGGA(x1, x2, x3, x4)  =  U25_GGGA(x1, x2, x4)
U26_GGGA(x1, x2, x3, x4, x5)  =  U26_GGGA(x1, x2, x3, x5)
U27_GGGA(x1, x2, x3, x4, x5)  =  U27_GGGA(x1, x2, x3, x5)
U28_GGGA(x1, x2, x3, x4, x5)  =  U28_GGGA(x1, x2, x3, x5)
U29_GGGA(x1, x2, x3, x4, x5)  =  U29_GGGA(x1, x2, x3, x5)
U30_GGGA(x1, x2, x3, x4, x5)  =  U30_GGGA(x1, x2, x3, x5)
U31_GGGA(x1, x2, x3, x4, x5)  =  U31_GGGA(x1, x2, x3, x5)
U32_GGGA(x1, x2, x3, x4)  =  U32_GGGA(x1, x2, x4)
U33_GGGA(x1, x2, x3, x4, x5)  =  U33_GGGA(x1, x2, x3, x5)
U34_GGGA(x1, x2, x3, x4, x5)  =  U34_GGGA(x1, x2, x3, x5)
U35_GGGA(x1, x2, x3, x4, x5)  =  U35_GGGA(x1, x2, x3, x5)
U36_GGGA(x1, x2, x3, x4, x5)  =  U36_GGGA(x1, x2, x3, x5)
U37_GGGA(x1, x2, x3, x4, x5)  =  U37_GGGA(x1, x2, x3, x5)
U38_GGGA(x1, x2, x3, x4, x5)  =  U38_GGGA(x1, x2, x3, x5)
U39_GGGA(x1, x2, x3, x4)  =  U39_GGGA(x1, x2, x4)
U40_GGGA(x1, x2, x3, x4, x5)  =  U40_GGGA(x1, x2, x3, x5)
U41_GGGA(x1, x2, x3, x4, x5)  =  U41_GGGA(x1, x2, x3, x5)
U42_GGGA(x1, x2, x3, x4, x5)  =  U42_GGGA(x1, x2, x3, x5)
U43_GGGA(x1, x2, x3, x4, x5)  =  U43_GGGA(x1, x2, x3, x5)
U44_GGGA(x1, x2, x3, x4, x5)  =  U44_GGGA(x1, x2, x3, x5)
U45_GGGA(x1, x2, x3, x4, x5)  =  U45_GGGA(x1, x2, x3, x5)
U46_GGGA(x1, x2, x3, x4)  =  U46_GGGA(x1, x2, x4)
U47_GGGA(x1, x2, x3, x4, x5)  =  U47_GGGA(x1, x2, x3, x5)
U48_GGGA(x1, x2, x3, x4, x5)  =  U48_GGGA(x1, x2, x3, x5)
U49_GGGA(x1, x2, x3, x4, x5)  =  U49_GGGA(x1, x2, x3, x5)
U50_GGGA(x1, x2, x3, x4, x5)  =  U50_GGGA(x1, x2, x3, x5)
U51_GGGA(x1, x2, x3, x4, x5)  =  U51_GGGA(x1, x2, x3, x5)
U52_GGGA(x1, x2, x3, x4, x5)  =  U52_GGGA(x1, x2, x3, x5)
U53_GGGA(x1, x2, x3, x4)  =  U53_GGGA(x1, x2, x4)
U204_GGGA(x1, x2, x3, x4)  =  U204_GGGA(x1, x2, x4)
SUM1253_IN_GGA(x1, x2, x3)  =  SUM1253_IN_GGA(x1, x2)
U93_GGA(x1, x2, x3, x4)  =  U93_GGA(x1, x2, x4)
U94_GGA(x1, x2, x3, x4)  =  U94_GGA(x1, x2, x4)
U95_GGA(x1, x2, x3, x4)  =  U95_GGA(x1, x2, x4)
U96_GGA(x1, x2, x3, x4)  =  U96_GGA(x1, x2, x4)
U97_GGA(x1, x2, x3, x4)  =  U97_GGA(x1, x2, x4)
U98_GGA(x1, x2, x3, x4)  =  U98_GGA(x1, x2, x4)
U99_GGA(x1, x2, x3, x4)  =  U99_GGA(x1, x2, x4)
U100_GGA(x1, x2, x3, x4)  =  U100_GGA(x1, x2, x4)
U101_GGA(x1, x2, x3)  =  U101_GGA(x1, x3)
SUM1335_IN_GGA(x1, x2, x3)  =  SUM1335_IN_GGA(x1, x2)
U91_GGA(x1, x2, x3, x4, x5)  =  U91_GGA(x1, x2, x3, x5)
U92_GGA(x1, x2, x3, x4)  =  U92_GGA(x1, x2, x4)
U205_GGGA(x1, x2, x3, x4)  =  U205_GGGA(x1, x2, x4)
SUM1373_IN_GGA(x1, x2, x3)  =  SUM1373_IN_GGA(x1, x2)
U104_GGA(x1, x2, x3, x4)  =  U104_GGA(x1, x2, x4)
U105_GGA(x1, x2, x3, x4)  =  U105_GGA(x1, x2, x4)
U106_GGA(x1, x2, x3, x4)  =  U106_GGA(x1, x2, x4)
U107_GGA(x1, x2, x3, x4)  =  U107_GGA(x1, x2, x4)
U108_GGA(x1, x2, x3, x4)  =  U108_GGA(x1, x2, x4)
U109_GGA(x1, x2, x3, x4)  =  U109_GGA(x1, x2, x4)
U110_GGA(x1, x2, x3, x4)  =  U110_GGA(x1, x2, x4)
U111_GGA(x1, x2, x3, x4)  =  U111_GGA(x1, x2, x4)
U112_GGA(x1, x2, x3)  =  U112_GGA(x1, x3)
SUM1447_IN_GGA(x1, x2, x3)  =  SUM1447_IN_GGA(x1, x2)
U102_GGA(x1, x2, x3, x4, x5)  =  U102_GGA(x1, x2, x3, x5)
U103_GGA(x1, x2, x3, x4)  =  U103_GGA(x1, x2, x4)
U206_GGGA(x1, x2, x3, x4)  =  U206_GGGA(x1, x2, x4)
SUM1485_IN_GGA(x1, x2, x3)  =  SUM1485_IN_GGA(x1, x2)
U115_GGA(x1, x2, x3, x4)  =  U115_GGA(x1, x2, x4)
U116_GGA(x1, x2, x3, x4)  =  U116_GGA(x1, x2, x4)
U117_GGA(x1, x2, x3, x4)  =  U117_GGA(x1, x2, x4)
U118_GGA(x1, x2, x3, x4)  =  U118_GGA(x1, x2, x4)
U119_GGA(x1, x2, x3, x4)  =  U119_GGA(x1, x2, x4)
U120_GGA(x1, x2, x3, x4)  =  U120_GGA(x1, x2, x4)
U121_GGA(x1, x2, x3, x4)  =  U121_GGA(x1, x2, x4)
U122_GGA(x1, x2, x3, x4)  =  U122_GGA(x1, x2, x4)
U123_GGA(x1, x2, x3)  =  U123_GGA(x1, x3)
SUM1559_IN_GGA(x1, x2, x3)  =  SUM1559_IN_GGA(x1, x2)
U113_GGA(x1, x2, x3, x4, x5)  =  U113_GGA(x1, x2, x3, x5)
U114_GGA(x1, x2, x3, x4)  =  U114_GGA(x1, x2, x4)
U207_GGGA(x1, x2, x3, x4)  =  U207_GGGA(x1, x2, x4)
SUM1597_IN_GGA(x1, x2, x3)  =  SUM1597_IN_GGA(x1, x2)
U126_GGA(x1, x2, x3, x4)  =  U126_GGA(x1, x2, x4)
U127_GGA(x1, x2, x3, x4)  =  U127_GGA(x1, x2, x4)
U128_GGA(x1, x2, x3, x4)  =  U128_GGA(x1, x2, x4)
U129_GGA(x1, x2, x3, x4)  =  U129_GGA(x1, x2, x4)
U130_GGA(x1, x2, x3, x4)  =  U130_GGA(x1, x2, x4)
U131_GGA(x1, x2, x3, x4)  =  U131_GGA(x1, x2, x4)
U132_GGA(x1, x2, x3, x4)  =  U132_GGA(x1, x2, x4)
U133_GGA(x1, x2, x3, x4)  =  U133_GGA(x1, x2, x4)
U134_GGA(x1, x2, x3)  =  U134_GGA(x1, x3)
SUM1671_IN_GGA(x1, x2, x3)  =  SUM1671_IN_GGA(x1, x2)
U124_GGA(x1, x2, x3, x4, x5)  =  U124_GGA(x1, x2, x3, x5)
U125_GGA(x1, x2, x3, x4)  =  U125_GGA(x1, x2, x4)
U208_GGGA(x1, x2, x3, x4)  =  U208_GGGA(x1, x2, x4)
SUM1709_IN_GGA(x1, x2, x3)  =  SUM1709_IN_GGA(x1, x2)
U137_GGA(x1, x2, x3, x4)  =  U137_GGA(x1, x2, x4)
U138_GGA(x1, x2, x3, x4)  =  U138_GGA(x1, x2, x4)
U139_GGA(x1, x2, x3, x4)  =  U139_GGA(x1, x2, x4)
U140_GGA(x1, x2, x3, x4)  =  U140_GGA(x1, x2, x4)
U141_GGA(x1, x2, x3, x4)  =  U141_GGA(x1, x2, x4)
U142_GGA(x1, x2, x3, x4)  =  U142_GGA(x1, x2, x4)
U143_GGA(x1, x2, x3, x4)  =  U143_GGA(x1, x2, x4)
U144_GGA(x1, x2, x3, x4)  =  U144_GGA(x1, x2, x4)
U145_GGA(x1, x2, x3)  =  U145_GGA(x1, x3)
SUM1783_IN_GGA(x1, x2, x3)  =  SUM1783_IN_GGA(x1, x2)
U135_GGA(x1, x2, x3, x4, x5)  =  U135_GGA(x1, x2, x3, x5)
U136_GGA(x1, x2, x3, x4)  =  U136_GGA(x1, x2, x4)
U209_GGGA(x1, x2, x3, x4)  =  U209_GGGA(x1, x2, x4)
SUM1821_IN_GGA(x1, x2, x3)  =  SUM1821_IN_GGA(x1, x2)
U148_GGA(x1, x2, x3, x4)  =  U148_GGA(x1, x2, x4)
U149_GGA(x1, x2, x3, x4)  =  U149_GGA(x1, x2, x4)
U150_GGA(x1, x2, x3, x4)  =  U150_GGA(x1, x2, x4)
U151_GGA(x1, x2, x3, x4)  =  U151_GGA(x1, x2, x4)
U152_GGA(x1, x2, x3, x4)  =  U152_GGA(x1, x2, x4)
U153_GGA(x1, x2, x3, x4)  =  U153_GGA(x1, x2, x4)
U154_GGA(x1, x2, x3, x4)  =  U154_GGA(x1, x2, x4)
U155_GGA(x1, x2, x3, x4)  =  U155_GGA(x1, x2, x4)
U156_GGA(x1, x2, x3)  =  U156_GGA(x1, x3)
SUM1895_IN_GGA(x1, x2, x3)  =  SUM1895_IN_GGA(x1, x2)
U146_GGA(x1, x2, x3, x4, x5)  =  U146_GGA(x1, x2, x3, x5)
U147_GGA(x1, x2, x3, x4)  =  U147_GGA(x1, x2, x4)
U210_GGGA(x1, x2, x3, x4)  =  U210_GGGA(x1, x2, x4)
SUM1933_IN_GGA(x1, x2, x3)  =  SUM1933_IN_GGA(x1, x2)
U159_GGA(x1, x2, x3, x4)  =  U159_GGA(x1, x2, x4)
U160_GGA(x1, x2, x3, x4)  =  U160_GGA(x1, x2, x4)
U161_GGA(x1, x2, x3, x4)  =  U161_GGA(x1, x2, x4)
U162_GGA(x1, x2, x3, x4)  =  U162_GGA(x1, x2, x4)
U163_GGA(x1, x2, x3, x4)  =  U163_GGA(x1, x2, x4)
U164_GGA(x1, x2, x3, x4)  =  U164_GGA(x1, x2, x4)
U165_GGA(x1, x2, x3, x4)  =  U165_GGA(x1, x2, x4)
U166_GGA(x1, x2, x3, x4)  =  U166_GGA(x1, x2, x4)
U167_GGA(x1, x2, x3)  =  U167_GGA(x1, x3)
SUM2007_IN_GGA(x1, x2, x3)  =  SUM2007_IN_GGA(x1, x2)
U157_GGA(x1, x2, x3, x4, x5)  =  U157_GGA(x1, x2, x3, x5)
U158_GGA(x1, x2, x3, x4)  =  U158_GGA(x1, x2, x4)
U221_GA(x1, x2, x3, x4, x5)  =  U221_GA(x1, x2, x3, x5)
U222_GA(x1, x2, x3, x4, x5)  =  U222_GA(x1, x2, x3, x5)
U223_GA(x1, x2, x3, x4)  =  U223_GA(x1, x2, x4)
SUM2047_IN_GGA(x1, x2, x3)  =  SUM2047_IN_GGA(x1, x2)
U211_GGA(x1, x2, x3, x4)  =  U211_GGA(x1, x2, x4)
U212_GGA(x1, x2, x3, x4)  =  U212_GGA(x1, x2, x4)
U213_GGA(x1, x2, x3, x4)  =  U213_GGA(x1, x2, x4)
U214_GGA(x1, x2, x3, x4)  =  U214_GGA(x1, x2, x4)
U215_GGA(x1, x2, x3, x4)  =  U215_GGA(x1, x2, x4)
U216_GGA(x1, x2, x3, x4)  =  U216_GGA(x1, x2, x4)
U217_GGA(x1, x2, x3, x4)  =  U217_GGA(x1, x2, x4)
U218_GGA(x1, x2, x3, x4)  =  U218_GGA(x1, x2, x4)
U219_GGA(x1, x2, x3)  =  U219_GGA(x1, x3)
SUM2121_IN_GGA(x1, x2, x3)  =  SUM2121_IN_GGA(x1, x2)
U168_GGA(x1, x2, x3, x4, x5)  =  U168_GGA(x1, x2, x3, x5)
U169_GGA(x1, x2, x3, x4)  =  U169_GGA(x1, x2, x4)
U224_GA(x1, x2, x3, x4)  =  U224_GA(x1, x2, x4)
U225_GA(x1, x2, x3, x4)  =  U225_GA(x1, x2, x4)

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

(136) Obligation:

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

WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U220_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → SUM10_IN_GGGA(T24, T25, T26, X43)
SUM10_IN_GGGA(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_GGGA(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
SUM10_IN_GGGA(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → SUM47_IN_GGGGA(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)
SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → U1_GGGGA(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → SUM47_IN_GGGGA(T181, T182, T183, s(T184), X383)
SUM47_IN_GGGGA(0, T201, T202, T203, X414) → U2_GGGGA(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
SUM47_IN_GGGGA(0, T201, T202, T203, X414) → SUM55_IN_GGGA(T201, T202, T203, X414)
SUM55_IN_GGGA(s(T219), T220, T221, X453) → U3_GGGA(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
SUM55_IN_GGGA(s(T219), T220, T221, X453) → SUM55_IN_GGGA(T219, T220, s(T221), X453)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_GGGA(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → SUM101_IN_GGGA(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)
SUM101_IN_GGGA(s(T380), T381, T382, X816) → U170_GGGA(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
SUM101_IN_GGGA(s(T380), T381, T382, X816) → SUM107_IN_GGGGA(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)
SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → U54_GGGGA(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → SUM107_IN_GGGGA(T407, T408, s(T409), T410, X863)
SUM107_IN_GGGGA(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_GGGGA(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
SUM107_IN_GGGGA(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → SUM147_IN_GGGGA(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)
SUM147_IN_GGGGA(s(s(T623)), T624, T625, T626, X1226) → U178_GGGGA(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
SUM147_IN_GGGGA(s(s(T623)), T624, T625, T626, X1226) → SUM158_IN_GGGGGA(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)
SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → U62_GGGGGA(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661, X1273)
SUM158_IN_GGGGGA(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_GGGGGA(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
SUM158_IN_GGGGGA(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → SUM193_IN_GGGGGA(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)
SUM193_IN_GGGGGA(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_GGGGGA(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
SUM193_IN_GGGGGA(s(s(s(T928))), T929, T930, T931, T932, X1636) → SUM209_IN_GGGGGGA(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)
SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → U69_GGGGGGA(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974, X1683)
SUM209_IN_GGGGGGA(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_GGGGGGA(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
SUM209_IN_GGGGGGA(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → SUM239_IN_GGGGGGA(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)
SUM239_IN_GGGGGGA(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_GGGGGGA(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
SUM239_IN_GGGGGGA(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → SUM260_IN_GGGGGGGA(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)
SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_GGGGGGGA(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)
SUM260_IN_GGGGGGGA(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_GGGGGGGA(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
SUM260_IN_GGGGGGGA(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → SUM285_IN_GGGGGGGA(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)
SUM285_IN_GGGGGGGA(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_GGGGGGGA(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
SUM285_IN_GGGGGGGA(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → SUM311_IN_GGGGGGGGA(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)
SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_GGGGGGGGA(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)
SUM311_IN_GGGGGGGGA(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_GGGGGGGGA(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
SUM311_IN_GGGGGGGGA(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → SUM331_IN_GGGGGGGGA(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)
SUM331_IN_GGGGGGGGA(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_GGGGGGGGA(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
SUM331_IN_GGGGGGGGA(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → SUM362_IN_GGGGGGGGGA(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)
SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_GGGGGGGGGA(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)
SUM362_IN_GGGGGGGGGA(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_GGGGGGGGGA(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
SUM362_IN_GGGGGGGGGA(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → SUM377_IN_GGGGA(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → U87_GGGGA(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423, X3030)
SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → U88_GGGGA(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → SUM385_IN_GGGA(T2440, T2441, T2442, X3061)
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → U89_GGGA(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466, X3100)
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → U90_GGGA(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → SUM385_IN_GGGA(T2483, T2484, T2485, X3131)
SUM362_IN_GGGGGGGGGA(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_GGGGGGGGGA(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
SUM362_IN_GGGGGGGGGA(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → SUM385_IN_GGGA(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)
SUM331_IN_GGGGGGGGA(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_GGGGGGGGA(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
SUM331_IN_GGGGGGGGA(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → SUM385_IN_GGGA(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)
SUM331_IN_GGGGGGGGA(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_GGGGGGGGA(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
SUM331_IN_GGGGGGGGA(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → SUM385_IN_GGGA(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)
SUM331_IN_GGGGGGGGA(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_GGGGGGGGA(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
SUM331_IN_GGGGGGGGA(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → SUM385_IN_GGGA(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)
SUM331_IN_GGGGGGGGA(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_GGGGGGGGA(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
SUM331_IN_GGGGGGGGA(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → SUM385_IN_GGGA(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)
SUM331_IN_GGGGGGGGA(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_GGGGGGGGA(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
SUM331_IN_GGGGGGGGA(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → SUM385_IN_GGGA(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)
SUM331_IN_GGGGGGGGA(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_GGGGGGGGA(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
SUM331_IN_GGGGGGGGA(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → SUM385_IN_GGGA(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)
SUM311_IN_GGGGGGGGA(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_GGGGGGGGA(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
SUM311_IN_GGGGGGGGA(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → SUM385_IN_GGGA(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)
SUM311_IN_GGGGGGGGA(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_GGGGGGGGA(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
SUM311_IN_GGGGGGGGA(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → SUM385_IN_GGGA(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)
SUM285_IN_GGGGGGGA(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_GGGGGGGA(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
SUM285_IN_GGGGGGGA(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → SUM385_IN_GGGA(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)
SUM285_IN_GGGGGGGA(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_GGGGGGGA(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
SUM285_IN_GGGGGGGA(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → SUM385_IN_GGGA(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)
SUM285_IN_GGGGGGGA(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_GGGGGGGA(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
SUM285_IN_GGGGGGGA(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → SUM385_IN_GGGA(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)
SUM285_IN_GGGGGGGA(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_GGGGGGGA(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
SUM285_IN_GGGGGGGA(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → SUM385_IN_GGGA(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)
SUM285_IN_GGGGGGGA(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_GGGGGGGA(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
SUM285_IN_GGGGGGGA(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → SUM385_IN_GGGA(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)
SUM260_IN_GGGGGGGA(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_GGGGGGGA(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
SUM260_IN_GGGGGGGA(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → SUM385_IN_GGGA(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)
SUM260_IN_GGGGGGGA(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_GGGGGGGA(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
SUM260_IN_GGGGGGGA(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → SUM385_IN_GGGA(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)
SUM260_IN_GGGGGGGA(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_GGGGGGGA(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
SUM260_IN_GGGGGGGA(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → SUM385_IN_GGGA(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)
SUM239_IN_GGGGGGA(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_GGGGGGA(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
SUM239_IN_GGGGGGA(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → SUM385_IN_GGGA(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)
SUM239_IN_GGGGGGA(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_GGGGGGA(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
SUM239_IN_GGGGGGA(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → SUM385_IN_GGGA(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)
SUM239_IN_GGGGGGA(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_GGGGGGA(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
SUM239_IN_GGGGGGA(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → SUM385_IN_GGGA(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)
SUM239_IN_GGGGGGA(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_GGGGGGA(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
SUM239_IN_GGGGGGA(0, T3352, T3353, T3354, T3355, T3356, X3777) → SUM385_IN_GGGA(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)
SUM209_IN_GGGGGGA(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_GGGGGGA(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
SUM209_IN_GGGGGGA(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → SUM385_IN_GGGA(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)
SUM209_IN_GGGGGGA(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_GGGGGGA(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
SUM209_IN_GGGGGGA(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → SUM385_IN_GGGA(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)
SUM209_IN_GGGGGGA(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_GGGGGGA(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
SUM209_IN_GGGGGGA(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → SUM385_IN_GGGA(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)
SUM209_IN_GGGGGGA(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_GGGGGGA(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
SUM209_IN_GGGGGGA(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → SUM385_IN_GGGA(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)
SUM193_IN_GGGGGA(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_GGGGGA(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
SUM193_IN_GGGGGA(s(s(0)), T3515, T3516, T3517, T3518, X3931) → SUM385_IN_GGGA(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)
SUM193_IN_GGGGGA(s(0), T3540, T3541, T3542, T3543, X3961) → U183_GGGGGA(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
SUM193_IN_GGGGGA(s(0), T3540, T3541, T3542, T3543, X3961) → SUM385_IN_GGGA(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)
SUM193_IN_GGGGGA(0, T3565, T3566, T3567, T3568, X3991) → U184_GGGGGA(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
SUM193_IN_GGGGGA(0, T3565, T3566, T3567, T3568, X3991) → SUM385_IN_GGGA(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)
SUM158_IN_GGGGGA(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_GGGGGA(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
SUM158_IN_GGGGGA(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → SUM385_IN_GGGA(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)
SUM158_IN_GGGGGA(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_GGGGGA(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
SUM158_IN_GGGGGA(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → SUM385_IN_GGGA(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)
SUM158_IN_GGGGGA(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_GGGGGA(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
SUM158_IN_GGGGGA(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → SUM385_IN_GGGA(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)
SUM158_IN_GGGGGA(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_GGGGGA(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
SUM158_IN_GGGGGA(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → SUM385_IN_GGGA(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)
SUM158_IN_GGGGGA(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_GGGGGA(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
SUM158_IN_GGGGGA(0, .(0, T3690), T3691, T3692, T3693, X4141) → SUM385_IN_GGGA(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)
SUM147_IN_GGGGA(s(0), T3720, T3721, T3722, X4175) → U179_GGGGA(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
SUM147_IN_GGGGA(s(0), T3720, T3721, T3722, X4175) → SUM385_IN_GGGA(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)
SUM147_IN_GGGGA(0, T3739, T3740, T3741, X4205) → U180_GGGGA(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
SUM147_IN_GGGGA(0, T3739, T3740, T3741, X4205) → SUM385_IN_GGGA(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)
SUM107_IN_GGGGA(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_GGGGA(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
SUM107_IN_GGGGA(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → SUM385_IN_GGGA(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)
SUM107_IN_GGGGA(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_GGGGA(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
SUM107_IN_GGGGA(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → SUM385_IN_GGGA(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)
SUM107_IN_GGGGA(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_GGGGA(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
SUM107_IN_GGGGA(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → SUM385_IN_GGGA(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)
SUM107_IN_GGGGA(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_GGGGA(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
SUM107_IN_GGGGA(0, .(s(s(0)), T3815), T3816, T3817, X4325) → SUM385_IN_GGGA(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)
SUM107_IN_GGGGA(0, .(s(0), T3834), T3835, T3836, X4355) → U60_GGGGA(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
SUM107_IN_GGGGA(0, .(s(0), T3834), T3835, T3836, X4355) → SUM385_IN_GGGA(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)
SUM107_IN_GGGGA(0, .(0, T3853), T3854, T3855, X4385) → U61_GGGGA(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
SUM107_IN_GGGGA(0, .(0, T3853), T3854, T3855, X4385) → SUM385_IN_GGGA(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)
SUM101_IN_GGGA(0, .(s(T3891), T3892), T3893, X4458) → U171_GGGA(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
SUM101_IN_GGGA(0, .(s(T3891), T3892), T3893, X4458) → SUM385_IN_GGGA(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)
SUM101_IN_GGGA(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_GGGA(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
SUM101_IN_GGGA(0, .(0, .(s(T3922), T3923)), T3924, X4528) → SUM385_IN_GGGA(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)
SUM101_IN_GGGA(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_GGGA(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
SUM101_IN_GGGA(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → SUM385_IN_GGGA(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_GGGA(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → SUM385_IN_GGGA(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_GGGA(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → SUM385_IN_GGGA(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_GGGA(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → SUM385_IN_GGGA(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_GGGA(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
SUM101_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → SUM385_IN_GGGA(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_GGGA(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → SUM385_IN_GGGA(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_GGGA(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → SUM385_IN_GGGA(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_GGGA(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → SUM385_IN_GGGA(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_GGGA(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → SUM385_IN_GGGA(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_GGGA(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → SUM385_IN_GGGA(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_GGGA(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → SUM385_IN_GGGA(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_GGGA(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
SUM55_IN_GGGA(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → SUM385_IN_GGGA(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_GGGA(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → SUM385_IN_GGGA(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_GGGA(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → SUM385_IN_GGGA(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_GGGA(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → SUM385_IN_GGGA(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_GGGA(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → SUM385_IN_GGGA(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_GGGA(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → SUM385_IN_GGGA(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_GGGA(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → SUM385_IN_GGGA(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_GGGA(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
SUM55_IN_GGGA(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → SUM385_IN_GGGA(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_GGGA(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → SUM385_IN_GGGA(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_GGGA(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → SUM385_IN_GGGA(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_GGGA(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → SUM385_IN_GGGA(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_GGGA(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → SUM385_IN_GGGA(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_GGGA(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → SUM385_IN_GGGA(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_GGGA(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → SUM385_IN_GGGA(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_GGGA(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
SUM55_IN_GGGA(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → SUM385_IN_GGGA(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_GGGA(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → SUM385_IN_GGGA(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_GGGA(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → SUM385_IN_GGGA(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_GGGA(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → SUM385_IN_GGGA(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_GGGA(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → SUM385_IN_GGGA(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_GGGA(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → SUM385_IN_GGGA(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_GGGA(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → SUM385_IN_GGGA(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_GGGA(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
SUM55_IN_GGGA(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → SUM385_IN_GGGA(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)
SUM55_IN_GGGA(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_GGGA(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
SUM55_IN_GGGA(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → SUM385_IN_GGGA(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_GGGA(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → SUM385_IN_GGGA(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_GGGA(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → SUM385_IN_GGGA(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_GGGA(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → SUM385_IN_GGGA(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_GGGA(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → SUM385_IN_GGGA(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_GGGA(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → SUM385_IN_GGGA(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_GGGA(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
SUM55_IN_GGGA(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → SUM385_IN_GGGA(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)
SUM55_IN_GGGA(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_GGGA(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
SUM55_IN_GGGA(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → SUM385_IN_GGGA(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)
SUM55_IN_GGGA(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_GGGA(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
SUM55_IN_GGGA(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → SUM385_IN_GGGA(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_GGGA(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → SUM385_IN_GGGA(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_GGGA(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → SUM385_IN_GGGA(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_GGGA(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → SUM385_IN_GGGA(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_GGGA(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → SUM385_IN_GGGA(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_GGGA(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
SUM55_IN_GGGA(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → SUM385_IN_GGGA(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)
SUM55_IN_GGGA(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_GGGA(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
SUM55_IN_GGGA(0, .(0, .(s(T5445), T5446)), T5447, X7818) → SUM385_IN_GGGA(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)
SUM55_IN_GGGA(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_GGGA(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
SUM55_IN_GGGA(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → SUM385_IN_GGGA(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_GGGA(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → SUM385_IN_GGGA(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_GGGA(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → SUM385_IN_GGGA(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_GGGA(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → SUM385_IN_GGGA(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_GGGA(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → SUM385_IN_GGGA(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_GGGA(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
SUM55_IN_GGGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → SUM385_IN_GGGA(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)
SUM10_IN_GGGA(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_GGGA(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
SUM10_IN_GGGA(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → SUM1253_IN_GGA(T5653, T5654, X8264)
SUM1253_IN_GGA(s(T5665), T5666, X8303) → U93_GGA(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
SUM1253_IN_GGA(s(T5665), T5666, X8303) → SUM55_IN_GGGA(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)
SUM1253_IN_GGA(0, .(s(T5688), T5689), X8379) → U94_GGA(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
SUM1253_IN_GGA(0, .(s(T5688), T5689), X8379) → SUM385_IN_GGGA(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)
SUM1253_IN_GGA(0, .(0, .(s(T5711), T5712)), X8455) → U95_GGA(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
SUM1253_IN_GGA(0, .(0, .(s(T5711), T5712)), X8455) → SUM385_IN_GGGA(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)
SUM1253_IN_GGA(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_GGA(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
SUM1253_IN_GGA(0, .(0, .(0, .(s(T5734), T5735))), X8531) → SUM385_IN_GGGA(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_GGA(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → SUM385_IN_GGGA(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_GGA(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → SUM385_IN_GGGA(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_GGA(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → SUM385_IN_GGGA(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_GGA(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → SUM385_IN_GGGA(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_GGA(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
SUM1253_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → SUM1335_IN_GGA(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
SUM1335_IN_GGA(.(s(T5859), T5860), T5861, X8917) → U91_GGA(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
SUM1335_IN_GGA(.(s(T5859), T5860), T5861, X8917) → SUM385_IN_GGGA(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)
SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → U92_GGA(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → SUM1335_IN_GGA(T5873, T5874, X8948)
SUM10_IN_GGGA(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_GGGA(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
SUM10_IN_GGGA(s(s(s(s(s(0))))), T5889, T5890, X9011) → SUM1373_IN_GGA(T5889, T5890, X9011)
SUM1373_IN_GGA(s(T5901), T5902, X9050) → U104_GGA(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
SUM1373_IN_GGA(s(T5901), T5902, X9050) → SUM1253_IN_GGA(T5901, T5902, X9050)
SUM1373_IN_GGA(0, .(s(T5920), T5921), X9120) → U105_GGA(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
SUM1373_IN_GGA(0, .(s(T5920), T5921), X9120) → SUM1335_IN_GGA(.(T5920, T5921), .(s(T5920), T5921), X9120)
SUM1373_IN_GGA(0, .(0, .(s(T5939), T5940)), X9190) → U106_GGA(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
SUM1373_IN_GGA(0, .(0, .(s(T5939), T5940)), X9190) → SUM1335_IN_GGA(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)
SUM1373_IN_GGA(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_GGA(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
SUM1373_IN_GGA(0, .(0, .(0, .(s(T5958), T5959))), X9260) → SUM1335_IN_GGA(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_GGA(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → SUM1335_IN_GGA(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_GGA(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → SUM1335_IN_GGA(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_GGA(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → SUM1335_IN_GGA(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_GGA(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → SUM1335_IN_GGA(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_GGA(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
SUM1373_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → SUM1447_IN_GGA(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
SUM1447_IN_GGA(.(s(T6061), T6062), T6063, X9616) → U102_GGA(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
SUM1447_IN_GGA(.(s(T6061), T6062), T6063, X9616) → SUM1335_IN_GGA(.(T6061, T6062), T6063, X9616)
SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → U103_GGA(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → SUM1447_IN_GGA(T6075, T6076, X9647)
SUM10_IN_GGGA(s(s(s(s(0)))), T6091, T6092, X9710) → U206_GGGA(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
SUM10_IN_GGGA(s(s(s(s(0)))), T6091, T6092, X9710) → SUM1485_IN_GGA(T6091, T6092, X9710)
SUM1485_IN_GGA(s(T6103), T6104, X9749) → U115_GGA(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
SUM1485_IN_GGA(s(T6103), T6104, X9749) → SUM1373_IN_GGA(T6103, T6104, X9749)
SUM1485_IN_GGA(0, .(s(T6122), T6123), X9819) → U116_GGA(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
SUM1485_IN_GGA(0, .(s(T6122), T6123), X9819) → SUM1447_IN_GGA(.(T6122, T6123), .(s(T6122), T6123), X9819)
SUM1485_IN_GGA(0, .(0, .(s(T6141), T6142)), X9889) → U117_GGA(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
SUM1485_IN_GGA(0, .(0, .(s(T6141), T6142)), X9889) → SUM1447_IN_GGA(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)
SUM1485_IN_GGA(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_GGA(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
SUM1485_IN_GGA(0, .(0, .(0, .(s(T6160), T6161))), X9959) → SUM1447_IN_GGA(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_GGA(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → SUM1447_IN_GGA(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_GGA(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → SUM1447_IN_GGA(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_GGA(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → SUM1447_IN_GGA(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_GGA(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → SUM1447_IN_GGA(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_GGA(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
SUM1485_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → SUM1559_IN_GGA(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
SUM1559_IN_GGA(.(s(T6263), T6264), T6265, X10315) → U113_GGA(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
SUM1559_IN_GGA(.(s(T6263), T6264), T6265, X10315) → SUM1447_IN_GGA(.(T6263, T6264), T6265, X10315)
SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → U114_GGA(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → SUM1559_IN_GGA(T6277, T6278, X10346)
SUM10_IN_GGGA(s(s(s(0))), T6293, T6294, X10409) → U207_GGGA(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
SUM10_IN_GGGA(s(s(s(0))), T6293, T6294, X10409) → SUM1597_IN_GGA(T6293, T6294, X10409)
SUM1597_IN_GGA(s(T6305), T6306, X10448) → U126_GGA(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
SUM1597_IN_GGA(s(T6305), T6306, X10448) → SUM1485_IN_GGA(T6305, T6306, X10448)
SUM1597_IN_GGA(0, .(s(T6324), T6325), X10518) → U127_GGA(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
SUM1597_IN_GGA(0, .(s(T6324), T6325), X10518) → SUM1559_IN_GGA(.(T6324, T6325), .(s(T6324), T6325), X10518)
SUM1597_IN_GGA(0, .(0, .(s(T6343), T6344)), X10588) → U128_GGA(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
SUM1597_IN_GGA(0, .(0, .(s(T6343), T6344)), X10588) → SUM1559_IN_GGA(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)
SUM1597_IN_GGA(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_GGA(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
SUM1597_IN_GGA(0, .(0, .(0, .(s(T6362), T6363))), X10658) → SUM1559_IN_GGA(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_GGA(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → SUM1559_IN_GGA(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_GGA(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → SUM1559_IN_GGA(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_GGA(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → SUM1559_IN_GGA(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_GGA(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → SUM1559_IN_GGA(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_GGA(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
SUM1597_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → SUM1671_IN_GGA(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
SUM1671_IN_GGA(.(s(T6465), T6466), T6467, X11014) → U124_GGA(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
SUM1671_IN_GGA(.(s(T6465), T6466), T6467, X11014) → SUM1559_IN_GGA(.(T6465, T6466), T6467, X11014)
SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → U125_GGA(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → SUM1671_IN_GGA(T6479, T6480, X11045)
SUM10_IN_GGGA(s(s(0)), T6495, T6496, X11108) → U208_GGGA(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
SUM10_IN_GGGA(s(s(0)), T6495, T6496, X11108) → SUM1709_IN_GGA(T6495, T6496, X11108)
SUM1709_IN_GGA(s(T6507), T6508, X11147) → U137_GGA(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
SUM1709_IN_GGA(s(T6507), T6508, X11147) → SUM1597_IN_GGA(T6507, T6508, X11147)
SUM1709_IN_GGA(0, .(s(T6526), T6527), X11217) → U138_GGA(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
SUM1709_IN_GGA(0, .(s(T6526), T6527), X11217) → SUM1671_IN_GGA(.(T6526, T6527), .(s(T6526), T6527), X11217)
SUM1709_IN_GGA(0, .(0, .(s(T6545), T6546)), X11287) → U139_GGA(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
SUM1709_IN_GGA(0, .(0, .(s(T6545), T6546)), X11287) → SUM1671_IN_GGA(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)
SUM1709_IN_GGA(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_GGA(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
SUM1709_IN_GGA(0, .(0, .(0, .(s(T6564), T6565))), X11357) → SUM1671_IN_GGA(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_GGA(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → SUM1671_IN_GGA(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_GGA(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → SUM1671_IN_GGA(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_GGA(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → SUM1671_IN_GGA(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_GGA(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → SUM1671_IN_GGA(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_GGA(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
SUM1709_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → SUM1783_IN_GGA(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
SUM1783_IN_GGA(.(s(T6667), T6668), T6669, X11713) → U135_GGA(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
SUM1783_IN_GGA(.(s(T6667), T6668), T6669, X11713) → SUM1671_IN_GGA(.(T6667, T6668), T6669, X11713)
SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → U136_GGA(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → SUM1783_IN_GGA(T6681, T6682, X11744)
SUM10_IN_GGGA(s(0), T6697, T6698, X11807) → U209_GGGA(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
SUM10_IN_GGGA(s(0), T6697, T6698, X11807) → SUM1821_IN_GGA(T6697, T6698, X11807)
SUM1821_IN_GGA(s(T6709), T6710, X11846) → U148_GGA(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
SUM1821_IN_GGA(s(T6709), T6710, X11846) → SUM1709_IN_GGA(T6709, T6710, X11846)
SUM1821_IN_GGA(0, .(s(T6728), T6729), X11916) → U149_GGA(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
SUM1821_IN_GGA(0, .(s(T6728), T6729), X11916) → SUM1783_IN_GGA(.(T6728, T6729), .(s(T6728), T6729), X11916)
SUM1821_IN_GGA(0, .(0, .(s(T6747), T6748)), X11986) → U150_GGA(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
SUM1821_IN_GGA(0, .(0, .(s(T6747), T6748)), X11986) → SUM1783_IN_GGA(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)
SUM1821_IN_GGA(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_GGA(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
SUM1821_IN_GGA(0, .(0, .(0, .(s(T6766), T6767))), X12056) → SUM1783_IN_GGA(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_GGA(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → SUM1783_IN_GGA(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_GGA(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → SUM1783_IN_GGA(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_GGA(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → SUM1783_IN_GGA(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_GGA(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → SUM1783_IN_GGA(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_GGA(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
SUM1821_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → SUM1895_IN_GGA(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
SUM1895_IN_GGA(.(s(T6869), T6870), T6871, X12412) → U146_GGA(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
SUM1895_IN_GGA(.(s(T6869), T6870), T6871, X12412) → SUM1783_IN_GGA(.(T6869, T6870), T6871, X12412)
SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → U147_GGA(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → SUM1895_IN_GGA(T6883, T6884, X12443)
SUM10_IN_GGGA(0, T6899, T6900, X12506) → U210_GGGA(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
SUM10_IN_GGGA(0, T6899, T6900, X12506) → SUM1933_IN_GGA(T6899, T6900, X12506)
SUM1933_IN_GGA(s(T6911), T6912, X12545) → U159_GGA(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
SUM1933_IN_GGA(s(T6911), T6912, X12545) → SUM1821_IN_GGA(T6911, T6912, X12545)
SUM1933_IN_GGA(0, .(s(T6930), T6931), X12615) → U160_GGA(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
SUM1933_IN_GGA(0, .(s(T6930), T6931), X12615) → SUM1895_IN_GGA(.(T6930, T6931), .(s(T6930), T6931), X12615)
SUM1933_IN_GGA(0, .(0, .(s(T6949), T6950)), X12685) → U161_GGA(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
SUM1933_IN_GGA(0, .(0, .(s(T6949), T6950)), X12685) → SUM1895_IN_GGA(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)
SUM1933_IN_GGA(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_GGA(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
SUM1933_IN_GGA(0, .(0, .(0, .(s(T6968), T6969))), X12755) → SUM1895_IN_GGA(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_GGA(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → SUM1895_IN_GGA(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_GGA(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → SUM1895_IN_GGA(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_GGA(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → SUM1895_IN_GGA(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_GGA(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → SUM1895_IN_GGA(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_GGA(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
SUM1933_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → SUM2007_IN_GGA(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
SUM2007_IN_GGA(.(s(T7071), T7072), T7073, X13111) → U157_GGA(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
SUM2007_IN_GGA(.(s(T7071), T7072), T7073, X13111) → SUM1895_IN_GGA(.(T7071, T7072), T7073, X13111)
SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → U158_GGA(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → SUM2007_IN_GGA(T7085, T7086, X13142)
WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U221_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_GA(T24, T25, T26, T11, weight1_in_ga(T30, T11))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30, T11)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U223_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → SUM2047_IN_GGA(T7105, T7106, X13210)
SUM2047_IN_GGA(s(T7120), T7121, X13255) → U211_GGA(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
SUM2047_IN_GGA(s(T7120), T7121, X13255) → SUM1933_IN_GGA(T7120, T7121, X13255)
SUM2047_IN_GGA(0, .(s(T7139), T7140), X13325) → U212_GGA(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
SUM2047_IN_GGA(0, .(s(T7139), T7140), X13325) → SUM2007_IN_GGA(.(T7139, T7140), .(s(T7139), T7140), X13325)
SUM2047_IN_GGA(0, .(0, .(s(T7158), T7159)), X13395) → U213_GGA(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
SUM2047_IN_GGA(0, .(0, .(s(T7158), T7159)), X13395) → SUM2007_IN_GGA(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)
SUM2047_IN_GGA(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_GGA(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
SUM2047_IN_GGA(0, .(0, .(0, .(s(T7177), T7178))), X13465) → SUM2007_IN_GGA(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_GGA(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → SUM2007_IN_GGA(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_GGA(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → SUM2007_IN_GGA(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_GGA(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → SUM2007_IN_GGA(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_GGA(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → SUM2007_IN_GGA(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_GGA(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
SUM2047_IN_GGA(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → SUM2121_IN_GGA(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
SUM2121_IN_GGA(.(s(T7280), T7281), T7282, X13821) → U168_GGA(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
SUM2121_IN_GGA(.(s(T7280), T7281), T7282, X13821) → SUM2007_IN_GGA(.(T7280, T7281), T7282, X13821)
SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → U169_GGA(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → SUM2121_IN_GGA(T7294, T7295, X13852)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U224_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_GA(T7105, T7106, T11, weight1_in_ga(T7109, T11))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → WEIGHT1_IN_GA(T7109, T11)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
WEIGHT1_IN_GA(x1, x2)  =  WEIGHT1_IN_GA(x1)
U220_GA(x1, x2, x3, x4, x5)  =  U220_GA(x1, x2, x3, x5)
SUM10_IN_GGGA(x1, x2, x3, x4)  =  SUM10_IN_GGGA(x1, x2, x3)
U203_GGGA(x1, x2, x3, x4, x5)  =  U203_GGGA(x1, x2, x3, x5)
SUM47_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM47_IN_GGGGA(x1, x2, x3, x4)
U1_GGGGA(x1, x2, x3, x4, x5, x6)  =  U1_GGGGA(x1, x2, x3, x4, x6)
U2_GGGGA(x1, x2, x3, x4, x5)  =  U2_GGGGA(x1, x2, x3, x5)
SUM55_IN_GGGA(x1, x2, x3, x4)  =  SUM55_IN_GGGA(x1, x2, x3)
U3_GGGA(x1, x2, x3, x4, x5)  =  U3_GGGA(x1, x2, x3, x5)
U4_GGGA(x1, x2, x3, x4, x5)  =  U4_GGGA(x1, x2, x3, x5)
SUM101_IN_GGGA(x1, x2, x3, x4)  =  SUM101_IN_GGGA(x1, x2, x3)
U170_GGGA(x1, x2, x3, x4, x5)  =  U170_GGGA(x1, x2, x3, x5)
SUM107_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM107_IN_GGGGA(x1, x2, x3, x4)
U54_GGGGA(x1, x2, x3, x4, x5, x6)  =  U54_GGGGA(x1, x2, x3, x4, x6)
U55_GGGGA(x1, x2, x3, x4, x5, x6)  =  U55_GGGGA(x1, x2, x3, x4, x6)
SUM147_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM147_IN_GGGGA(x1, x2, x3, x4)
U178_GGGGA(x1, x2, x3, x4, x5, x6)  =  U178_GGGGA(x1, x2, x3, x4, x6)
SUM158_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM158_IN_GGGGGA(x1, x2, x3, x4, x5)
U62_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U62_GGGGGA(x1, x2, x3, x4, x5, x7)
U63_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U63_GGGGGA(x1, x2, x3, x4, x5, x7)
SUM193_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM193_IN_GGGGGA(x1, x2, x3, x4, x5)
U181_GGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U181_GGGGGA(x1, x2, x3, x4, x5, x7)
SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)
U69_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_GGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U70_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_GGGGGGA(x1, x2, x3, x4, x5, x6, x8)
SUM239_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM239_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)
U185_GGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_GGGGGGA(x1, x2, x3, x4, x5, x6, x8)
SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)
U75_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U76_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
SUM285_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM285_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)
U190_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)
U80_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x10)
SUM331_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM331_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)
U196_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x10)
SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
SUM377_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM377_IN_GGGGA(x1, x2, x3, x4)
U87_GGGGA(x1, x2, x3, x4, x5, x6)  =  U87_GGGGA(x1, x2, x3, x4, x6)
U88_GGGGA(x1, x2, x3, x4, x5)  =  U88_GGGGA(x1, x2, x3, x5)
SUM385_IN_GGGA(x1, x2, x3, x4)  =  SUM385_IN_GGGA(x1, x2, x3)
U89_GGGA(x1, x2, x3, x4, x5, x6)  =  U89_GGGA(x1, x2, x3, x4, x6)
U90_GGGA(x1, x2, x3, x4, x5)  =  U90_GGGA(x1, x2, x3, x5)
U86_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U197_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U198_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U199_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U200_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U201_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U202_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U82_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U83_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x9)
U191_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U192_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U193_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U194_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U195_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U77_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U78_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U79_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_GGGGGGGA(x1, x2, x3, x4, x5, x6, x8)
U186_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U186_GGGGGGA(x1, x2, x3, x4, x5, x7)
U187_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U187_GGGGGGA(x1, x2, x3, x4, x5, x7)
U188_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U188_GGGGGGA(x1, x2, x3, x4, x5, x7)
U189_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U189_GGGGGGA(x1, x2, x3, x4, x5, x7)
U71_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U71_GGGGGGA(x1, x2, x3, x4, x5, x7)
U72_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U72_GGGGGGA(x1, x2, x3, x4, x5, x7)
U73_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U73_GGGGGGA(x1, x2, x3, x4, x5, x7)
U74_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  U74_GGGGGGA(x1, x2, x3, x4, x5, x7)
U182_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U182_GGGGGA(x1, x2, x3, x4, x6)
U183_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U183_GGGGGA(x1, x2, x3, x4, x6)
U184_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U184_GGGGGA(x1, x2, x3, x4, x6)
U64_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U64_GGGGGA(x1, x2, x3, x4, x6)
U65_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U65_GGGGGA(x1, x2, x3, x4, x6)
U66_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U66_GGGGGA(x1, x2, x3, x4, x6)
U67_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U67_GGGGGA(x1, x2, x3, x4, x6)
U68_GGGGGA(x1, x2, x3, x4, x5, x6)  =  U68_GGGGGA(x1, x2, x3, x4, x6)
U179_GGGGA(x1, x2, x3, x4, x5)  =  U179_GGGGA(x1, x2, x3, x5)
U180_GGGGA(x1, x2, x3, x4, x5)  =  U180_GGGGA(x1, x2, x3, x5)
U56_GGGGA(x1, x2, x3, x4, x5)  =  U56_GGGGA(x1, x2, x3, x5)
U57_GGGGA(x1, x2, x3, x4, x5)  =  U57_GGGGA(x1, x2, x3, x5)
U58_GGGGA(x1, x2, x3, x4, x5)  =  U58_GGGGA(x1, x2, x3, x5)
U59_GGGGA(x1, x2, x3, x4, x5)  =  U59_GGGGA(x1, x2, x3, x5)
U60_GGGGA(x1, x2, x3, x4, x5)  =  U60_GGGGA(x1, x2, x3, x5)
U61_GGGGA(x1, x2, x3, x4, x5)  =  U61_GGGGA(x1, x2, x3, x5)
U171_GGGA(x1, x2, x3, x4, x5)  =  U171_GGGA(x1, x2, x3, x5)
U172_GGGA(x1, x2, x3, x4, x5)  =  U172_GGGA(x1, x2, x3, x5)
U173_GGGA(x1, x2, x3, x4, x5)  =  U173_GGGA(x1, x2, x3, x5)
U174_GGGA(x1, x2, x3, x4, x5)  =  U174_GGGA(x1, x2, x3, x5)
U175_GGGA(x1, x2, x3, x4, x5)  =  U175_GGGA(x1, x2, x3, x5)
U176_GGGA(x1, x2, x3, x4, x5)  =  U176_GGGA(x1, x2, x3, x5)
U177_GGGA(x1, x2, x3, x4)  =  U177_GGGA(x1, x2, x4)
U5_GGGA(x1, x2, x3, x4, x5)  =  U5_GGGA(x1, x2, x3, x5)
U6_GGGA(x1, x2, x3, x4, x5)  =  U6_GGGA(x1, x2, x3, x5)
U7_GGGA(x1, x2, x3, x4, x5)  =  U7_GGGA(x1, x2, x3, x5)
U8_GGGA(x1, x2, x3, x4, x5)  =  U8_GGGA(x1, x2, x3, x5)
U9_GGGA(x1, x2, x3, x4, x5)  =  U9_GGGA(x1, x2, x3, x5)
U10_GGGA(x1, x2, x3, x4, x5)  =  U10_GGGA(x1, x2, x3, x5)
U11_GGGA(x1, x2, x3, x4)  =  U11_GGGA(x1, x2, x4)
U12_GGGA(x1, x2, x3, x4, x5)  =  U12_GGGA(x1, x2, x3, x5)
U13_GGGA(x1, x2, x3, x4, x5)  =  U13_GGGA(x1, x2, x3, x5)
U14_GGGA(x1, x2, x3, x4, x5)  =  U14_GGGA(x1, x2, x3, x5)
U15_GGGA(x1, x2, x3, x4, x5)  =  U15_GGGA(x1, x2, x3, x5)
U16_GGGA(x1, x2, x3, x4, x5)  =  U16_GGGA(x1, x2, x3, x5)
U17_GGGA(x1, x2, x3, x4, x5)  =  U17_GGGA(x1, x2, x3, x5)
U18_GGGA(x1, x2, x3, x4)  =  U18_GGGA(x1, x2, x4)
U19_GGGA(x1, x2, x3, x4, x5)  =  U19_GGGA(x1, x2, x3, x5)
U20_GGGA(x1, x2, x3, x4, x5)  =  U20_GGGA(x1, x2, x3, x5)
U21_GGGA(x1, x2, x3, x4, x5)  =  U21_GGGA(x1, x2, x3, x5)
U22_GGGA(x1, x2, x3, x4, x5)  =  U22_GGGA(x1, x2, x3, x5)
U23_GGGA(x1, x2, x3, x4, x5)  =  U23_GGGA(x1, x2, x3, x5)
U24_GGGA(x1, x2, x3, x4, x5)  =  U24_GGGA(x1, x2, x3, x5)
U25_GGGA(x1, x2, x3, x4)  =  U25_GGGA(x1, x2, x4)
U26_GGGA(x1, x2, x3, x4, x5)  =  U26_GGGA(x1, x2, x3, x5)
U27_GGGA(x1, x2, x3, x4, x5)  =  U27_GGGA(x1, x2, x3, x5)
U28_GGGA(x1, x2, x3, x4, x5)  =  U28_GGGA(x1, x2, x3, x5)
U29_GGGA(x1, x2, x3, x4, x5)  =  U29_GGGA(x1, x2, x3, x5)
U30_GGGA(x1, x2, x3, x4, x5)  =  U30_GGGA(x1, x2, x3, x5)
U31_GGGA(x1, x2, x3, x4, x5)  =  U31_GGGA(x1, x2, x3, x5)
U32_GGGA(x1, x2, x3, x4)  =  U32_GGGA(x1, x2, x4)
U33_GGGA(x1, x2, x3, x4, x5)  =  U33_GGGA(x1, x2, x3, x5)
U34_GGGA(x1, x2, x3, x4, x5)  =  U34_GGGA(x1, x2, x3, x5)
U35_GGGA(x1, x2, x3, x4, x5)  =  U35_GGGA(x1, x2, x3, x5)
U36_GGGA(x1, x2, x3, x4, x5)  =  U36_GGGA(x1, x2, x3, x5)
U37_GGGA(x1, x2, x3, x4, x5)  =  U37_GGGA(x1, x2, x3, x5)
U38_GGGA(x1, x2, x3, x4, x5)  =  U38_GGGA(x1, x2, x3, x5)
U39_GGGA(x1, x2, x3, x4)  =  U39_GGGA(x1, x2, x4)
U40_GGGA(x1, x2, x3, x4, x5)  =  U40_GGGA(x1, x2, x3, x5)
U41_GGGA(x1, x2, x3, x4, x5)  =  U41_GGGA(x1, x2, x3, x5)
U42_GGGA(x1, x2, x3, x4, x5)  =  U42_GGGA(x1, x2, x3, x5)
U43_GGGA(x1, x2, x3, x4, x5)  =  U43_GGGA(x1, x2, x3, x5)
U44_GGGA(x1, x2, x3, x4, x5)  =  U44_GGGA(x1, x2, x3, x5)
U45_GGGA(x1, x2, x3, x4, x5)  =  U45_GGGA(x1, x2, x3, x5)
U46_GGGA(x1, x2, x3, x4)  =  U46_GGGA(x1, x2, x4)
U47_GGGA(x1, x2, x3, x4, x5)  =  U47_GGGA(x1, x2, x3, x5)
U48_GGGA(x1, x2, x3, x4, x5)  =  U48_GGGA(x1, x2, x3, x5)
U49_GGGA(x1, x2, x3, x4, x5)  =  U49_GGGA(x1, x2, x3, x5)
U50_GGGA(x1, x2, x3, x4, x5)  =  U50_GGGA(x1, x2, x3, x5)
U51_GGGA(x1, x2, x3, x4, x5)  =  U51_GGGA(x1, x2, x3, x5)
U52_GGGA(x1, x2, x3, x4, x5)  =  U52_GGGA(x1, x2, x3, x5)
U53_GGGA(x1, x2, x3, x4)  =  U53_GGGA(x1, x2, x4)
U204_GGGA(x1, x2, x3, x4)  =  U204_GGGA(x1, x2, x4)
SUM1253_IN_GGA(x1, x2, x3)  =  SUM1253_IN_GGA(x1, x2)
U93_GGA(x1, x2, x3, x4)  =  U93_GGA(x1, x2, x4)
U94_GGA(x1, x2, x3, x4)  =  U94_GGA(x1, x2, x4)
U95_GGA(x1, x2, x3, x4)  =  U95_GGA(x1, x2, x4)
U96_GGA(x1, x2, x3, x4)  =  U96_GGA(x1, x2, x4)
U97_GGA(x1, x2, x3, x4)  =  U97_GGA(x1, x2, x4)
U98_GGA(x1, x2, x3, x4)  =  U98_GGA(x1, x2, x4)
U99_GGA(x1, x2, x3, x4)  =  U99_GGA(x1, x2, x4)
U100_GGA(x1, x2, x3, x4)  =  U100_GGA(x1, x2, x4)
U101_GGA(x1, x2, x3)  =  U101_GGA(x1, x3)
SUM1335_IN_GGA(x1, x2, x3)  =  SUM1335_IN_GGA(x1, x2)
U91_GGA(x1, x2, x3, x4, x5)  =  U91_GGA(x1, x2, x3, x5)
U92_GGA(x1, x2, x3, x4)  =  U92_GGA(x1, x2, x4)
U205_GGGA(x1, x2, x3, x4)  =  U205_GGGA(x1, x2, x4)
SUM1373_IN_GGA(x1, x2, x3)  =  SUM1373_IN_GGA(x1, x2)
U104_GGA(x1, x2, x3, x4)  =  U104_GGA(x1, x2, x4)
U105_GGA(x1, x2, x3, x4)  =  U105_GGA(x1, x2, x4)
U106_GGA(x1, x2, x3, x4)  =  U106_GGA(x1, x2, x4)
U107_GGA(x1, x2, x3, x4)  =  U107_GGA(x1, x2, x4)
U108_GGA(x1, x2, x3, x4)  =  U108_GGA(x1, x2, x4)
U109_GGA(x1, x2, x3, x4)  =  U109_GGA(x1, x2, x4)
U110_GGA(x1, x2, x3, x4)  =  U110_GGA(x1, x2, x4)
U111_GGA(x1, x2, x3, x4)  =  U111_GGA(x1, x2, x4)
U112_GGA(x1, x2, x3)  =  U112_GGA(x1, x3)
SUM1447_IN_GGA(x1, x2, x3)  =  SUM1447_IN_GGA(x1, x2)
U102_GGA(x1, x2, x3, x4, x5)  =  U102_GGA(x1, x2, x3, x5)
U103_GGA(x1, x2, x3, x4)  =  U103_GGA(x1, x2, x4)
U206_GGGA(x1, x2, x3, x4)  =  U206_GGGA(x1, x2, x4)
SUM1485_IN_GGA(x1, x2, x3)  =  SUM1485_IN_GGA(x1, x2)
U115_GGA(x1, x2, x3, x4)  =  U115_GGA(x1, x2, x4)
U116_GGA(x1, x2, x3, x4)  =  U116_GGA(x1, x2, x4)
U117_GGA(x1, x2, x3, x4)  =  U117_GGA(x1, x2, x4)
U118_GGA(x1, x2, x3, x4)  =  U118_GGA(x1, x2, x4)
U119_GGA(x1, x2, x3, x4)  =  U119_GGA(x1, x2, x4)
U120_GGA(x1, x2, x3, x4)  =  U120_GGA(x1, x2, x4)
U121_GGA(x1, x2, x3, x4)  =  U121_GGA(x1, x2, x4)
U122_GGA(x1, x2, x3, x4)  =  U122_GGA(x1, x2, x4)
U123_GGA(x1, x2, x3)  =  U123_GGA(x1, x3)
SUM1559_IN_GGA(x1, x2, x3)  =  SUM1559_IN_GGA(x1, x2)
U113_GGA(x1, x2, x3, x4, x5)  =  U113_GGA(x1, x2, x3, x5)
U114_GGA(x1, x2, x3, x4)  =  U114_GGA(x1, x2, x4)
U207_GGGA(x1, x2, x3, x4)  =  U207_GGGA(x1, x2, x4)
SUM1597_IN_GGA(x1, x2, x3)  =  SUM1597_IN_GGA(x1, x2)
U126_GGA(x1, x2, x3, x4)  =  U126_GGA(x1, x2, x4)
U127_GGA(x1, x2, x3, x4)  =  U127_GGA(x1, x2, x4)
U128_GGA(x1, x2, x3, x4)  =  U128_GGA(x1, x2, x4)
U129_GGA(x1, x2, x3, x4)  =  U129_GGA(x1, x2, x4)
U130_GGA(x1, x2, x3, x4)  =  U130_GGA(x1, x2, x4)
U131_GGA(x1, x2, x3, x4)  =  U131_GGA(x1, x2, x4)
U132_GGA(x1, x2, x3, x4)  =  U132_GGA(x1, x2, x4)
U133_GGA(x1, x2, x3, x4)  =  U133_GGA(x1, x2, x4)
U134_GGA(x1, x2, x3)  =  U134_GGA(x1, x3)
SUM1671_IN_GGA(x1, x2, x3)  =  SUM1671_IN_GGA(x1, x2)
U124_GGA(x1, x2, x3, x4, x5)  =  U124_GGA(x1, x2, x3, x5)
U125_GGA(x1, x2, x3, x4)  =  U125_GGA(x1, x2, x4)
U208_GGGA(x1, x2, x3, x4)  =  U208_GGGA(x1, x2, x4)
SUM1709_IN_GGA(x1, x2, x3)  =  SUM1709_IN_GGA(x1, x2)
U137_GGA(x1, x2, x3, x4)  =  U137_GGA(x1, x2, x4)
U138_GGA(x1, x2, x3, x4)  =  U138_GGA(x1, x2, x4)
U139_GGA(x1, x2, x3, x4)  =  U139_GGA(x1, x2, x4)
U140_GGA(x1, x2, x3, x4)  =  U140_GGA(x1, x2, x4)
U141_GGA(x1, x2, x3, x4)  =  U141_GGA(x1, x2, x4)
U142_GGA(x1, x2, x3, x4)  =  U142_GGA(x1, x2, x4)
U143_GGA(x1, x2, x3, x4)  =  U143_GGA(x1, x2, x4)
U144_GGA(x1, x2, x3, x4)  =  U144_GGA(x1, x2, x4)
U145_GGA(x1, x2, x3)  =  U145_GGA(x1, x3)
SUM1783_IN_GGA(x1, x2, x3)  =  SUM1783_IN_GGA(x1, x2)
U135_GGA(x1, x2, x3, x4, x5)  =  U135_GGA(x1, x2, x3, x5)
U136_GGA(x1, x2, x3, x4)  =  U136_GGA(x1, x2, x4)
U209_GGGA(x1, x2, x3, x4)  =  U209_GGGA(x1, x2, x4)
SUM1821_IN_GGA(x1, x2, x3)  =  SUM1821_IN_GGA(x1, x2)
U148_GGA(x1, x2, x3, x4)  =  U148_GGA(x1, x2, x4)
U149_GGA(x1, x2, x3, x4)  =  U149_GGA(x1, x2, x4)
U150_GGA(x1, x2, x3, x4)  =  U150_GGA(x1, x2, x4)
U151_GGA(x1, x2, x3, x4)  =  U151_GGA(x1, x2, x4)
U152_GGA(x1, x2, x3, x4)  =  U152_GGA(x1, x2, x4)
U153_GGA(x1, x2, x3, x4)  =  U153_GGA(x1, x2, x4)
U154_GGA(x1, x2, x3, x4)  =  U154_GGA(x1, x2, x4)
U155_GGA(x1, x2, x3, x4)  =  U155_GGA(x1, x2, x4)
U156_GGA(x1, x2, x3)  =  U156_GGA(x1, x3)
SUM1895_IN_GGA(x1, x2, x3)  =  SUM1895_IN_GGA(x1, x2)
U146_GGA(x1, x2, x3, x4, x5)  =  U146_GGA(x1, x2, x3, x5)
U147_GGA(x1, x2, x3, x4)  =  U147_GGA(x1, x2, x4)
U210_GGGA(x1, x2, x3, x4)  =  U210_GGGA(x1, x2, x4)
SUM1933_IN_GGA(x1, x2, x3)  =  SUM1933_IN_GGA(x1, x2)
U159_GGA(x1, x2, x3, x4)  =  U159_GGA(x1, x2, x4)
U160_GGA(x1, x2, x3, x4)  =  U160_GGA(x1, x2, x4)
U161_GGA(x1, x2, x3, x4)  =  U161_GGA(x1, x2, x4)
U162_GGA(x1, x2, x3, x4)  =  U162_GGA(x1, x2, x4)
U163_GGA(x1, x2, x3, x4)  =  U163_GGA(x1, x2, x4)
U164_GGA(x1, x2, x3, x4)  =  U164_GGA(x1, x2, x4)
U165_GGA(x1, x2, x3, x4)  =  U165_GGA(x1, x2, x4)
U166_GGA(x1, x2, x3, x4)  =  U166_GGA(x1, x2, x4)
U167_GGA(x1, x2, x3)  =  U167_GGA(x1, x3)
SUM2007_IN_GGA(x1, x2, x3)  =  SUM2007_IN_GGA(x1, x2)
U157_GGA(x1, x2, x3, x4, x5)  =  U157_GGA(x1, x2, x3, x5)
U158_GGA(x1, x2, x3, x4)  =  U158_GGA(x1, x2, x4)
U221_GA(x1, x2, x3, x4, x5)  =  U221_GA(x1, x2, x3, x5)
U222_GA(x1, x2, x3, x4, x5)  =  U222_GA(x1, x2, x3, x5)
U223_GA(x1, x2, x3, x4)  =  U223_GA(x1, x2, x4)
SUM2047_IN_GGA(x1, x2, x3)  =  SUM2047_IN_GGA(x1, x2)
U211_GGA(x1, x2, x3, x4)  =  U211_GGA(x1, x2, x4)
U212_GGA(x1, x2, x3, x4)  =  U212_GGA(x1, x2, x4)
U213_GGA(x1, x2, x3, x4)  =  U213_GGA(x1, x2, x4)
U214_GGA(x1, x2, x3, x4)  =  U214_GGA(x1, x2, x4)
U215_GGA(x1, x2, x3, x4)  =  U215_GGA(x1, x2, x4)
U216_GGA(x1, x2, x3, x4)  =  U216_GGA(x1, x2, x4)
U217_GGA(x1, x2, x3, x4)  =  U217_GGA(x1, x2, x4)
U218_GGA(x1, x2, x3, x4)  =  U218_GGA(x1, x2, x4)
U219_GGA(x1, x2, x3)  =  U219_GGA(x1, x3)
SUM2121_IN_GGA(x1, x2, x3)  =  SUM2121_IN_GGA(x1, x2)
U168_GGA(x1, x2, x3, x4, x5)  =  U168_GGA(x1, x2, x3, x5)
U169_GGA(x1, x2, x3, x4)  =  U169_GGA(x1, x2, x4)
U224_GA(x1, x2, x3, x4)  =  U224_GA(x1, x2, x4)
U225_GA(x1, x2, x3, x4)  =  U225_GA(x1, x2, x4)

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

(137) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LOPSTR] contains 18 SCCs with 424 less nodes.

(138) Complex Obligation (AND)

(139) Obligation:

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

SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → SUM385_IN_GGGA(T2440, T2441, T2442, X3061)
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466, X3100)
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423, X3030)
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → SUM385_IN_GGGA(T2483, T2484, T2485, X3131)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM377_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM377_IN_GGGGA(x1, x2, x3, x4)
SUM385_IN_GGGA(x1, x2, x3, x4)  =  SUM385_IN_GGGA(x1, x2, x3)

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

(140) UsableRulesProof (EQUIVALENT transformation)

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

(141) Obligation:

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

SUM377_IN_GGGGA(0, T2440, T2441, T2442, X3061) → SUM385_IN_GGGA(T2440, T2441, T2442, X3061)
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466, X3100) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466, X3100)
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423, X3030) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423, X3030)
SUM385_IN_GGGA(.(0, T2483), T2484, T2485, X3131) → SUM385_IN_GGGA(T2483, T2484, T2485, X3131)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
0  =  0
SUM377_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM377_IN_GGGGA(x1, x2, x3, x4)
SUM385_IN_GGGA(x1, x2, x3, x4)  =  SUM385_IN_GGGA(x1, x2, x3)

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

(142) PiDPToQDPProof (SOUND transformation)

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

(143) Obligation:

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

SUM377_IN_GGGGA(0, T2440, T2441, T2442) → SUM385_IN_GGGA(T2440, T2441, T2442)
SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466)
SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423)
SUM385_IN_GGGA(.(0, T2483), T2484, T2485) → SUM385_IN_GGGA(T2483, T2484, T2485)

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

(144) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM385_IN_GGGA(.(s(T2463), T2464), T2465, T2466) → SUM377_IN_GGGGA(T2463, T2464, s(T2465), T2466)
    The graph contains the following edges 1 > 1, 1 > 2, 3 >= 4

  • SUM385_IN_GGGA(.(0, T2483), T2484, T2485) → SUM385_IN_GGGA(T2483, T2484, T2485)
    The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3

  • SUM377_IN_GGGGA(s(T2420), T2421, T2422, T2423) → SUM377_IN_GGGGA(T2420, T2421, s(T2422), T2423)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4

  • SUM377_IN_GGGGA(0, T2440, T2441, T2442) → SUM385_IN_GGGA(T2440, T2441, T2442)
    The graph contains the following edges 2 >= 1, 3 >= 2, 4 >= 3

(145) YES

(146) Obligation:

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

SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → SUM1335_IN_GGA(T5873, T5874, X8948)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM1335_IN_GGA(x1, x2, x3)  =  SUM1335_IN_GGA(x1, x2)

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

(147) UsableRulesProof (EQUIVALENT transformation)

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

(148) Obligation:

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

SUM1335_IN_GGA(.(0, T5873), T5874, X8948) → SUM1335_IN_GGA(T5873, T5874, X8948)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1335_IN_GGA(x1, x2, x3)  =  SUM1335_IN_GGA(x1, x2)

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

(149) PiDPToQDPProof (SOUND transformation)

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

(150) Obligation:

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

SUM1335_IN_GGA(.(0, T5873), T5874) → SUM1335_IN_GGA(T5873, T5874)

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

(151) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1335_IN_GGA(.(0, T5873), T5874) → SUM1335_IN_GGA(T5873, T5874)
    The graph contains the following edges 1 > 1, 2 >= 2

(152) YES

(153) Obligation:

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

SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → SUM1447_IN_GGA(T6075, T6076, X9647)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM1447_IN_GGA(x1, x2, x3)  =  SUM1447_IN_GGA(x1, x2)

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

(154) UsableRulesProof (EQUIVALENT transformation)

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

(155) Obligation:

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

SUM1447_IN_GGA(.(0, T6075), T6076, X9647) → SUM1447_IN_GGA(T6075, T6076, X9647)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1447_IN_GGA(x1, x2, x3)  =  SUM1447_IN_GGA(x1, x2)

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

(156) PiDPToQDPProof (SOUND transformation)

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

(157) Obligation:

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

SUM1447_IN_GGA(.(0, T6075), T6076) → SUM1447_IN_GGA(T6075, T6076)

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

(158) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1447_IN_GGA(.(0, T6075), T6076) → SUM1447_IN_GGA(T6075, T6076)
    The graph contains the following edges 1 > 1, 2 >= 2

(159) YES

(160) Obligation:

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

SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → SUM1559_IN_GGA(T6277, T6278, X10346)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM1559_IN_GGA(x1, x2, x3)  =  SUM1559_IN_GGA(x1, x2)

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

(161) UsableRulesProof (EQUIVALENT transformation)

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

(162) Obligation:

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

SUM1559_IN_GGA(.(0, T6277), T6278, X10346) → SUM1559_IN_GGA(T6277, T6278, X10346)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1559_IN_GGA(x1, x2, x3)  =  SUM1559_IN_GGA(x1, x2)

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

(163) PiDPToQDPProof (SOUND transformation)

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

(164) Obligation:

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

SUM1559_IN_GGA(.(0, T6277), T6278) → SUM1559_IN_GGA(T6277, T6278)

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

(165) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1559_IN_GGA(.(0, T6277), T6278) → SUM1559_IN_GGA(T6277, T6278)
    The graph contains the following edges 1 > 1, 2 >= 2

(166) YES

(167) Obligation:

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

SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → SUM1671_IN_GGA(T6479, T6480, X11045)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM1671_IN_GGA(x1, x2, x3)  =  SUM1671_IN_GGA(x1, x2)

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

(168) UsableRulesProof (EQUIVALENT transformation)

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

(169) Obligation:

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

SUM1671_IN_GGA(.(0, T6479), T6480, X11045) → SUM1671_IN_GGA(T6479, T6480, X11045)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1671_IN_GGA(x1, x2, x3)  =  SUM1671_IN_GGA(x1, x2)

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

(170) PiDPToQDPProof (SOUND transformation)

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

(171) Obligation:

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

SUM1671_IN_GGA(.(0, T6479), T6480) → SUM1671_IN_GGA(T6479, T6480)

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

(172) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1671_IN_GGA(.(0, T6479), T6480) → SUM1671_IN_GGA(T6479, T6480)
    The graph contains the following edges 1 > 1, 2 >= 2

(173) YES

(174) Obligation:

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

SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → SUM1783_IN_GGA(T6681, T6682, X11744)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM1783_IN_GGA(x1, x2, x3)  =  SUM1783_IN_GGA(x1, x2)

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

(175) UsableRulesProof (EQUIVALENT transformation)

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

(176) Obligation:

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

SUM1783_IN_GGA(.(0, T6681), T6682, X11744) → SUM1783_IN_GGA(T6681, T6682, X11744)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1783_IN_GGA(x1, x2, x3)  =  SUM1783_IN_GGA(x1, x2)

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

(177) PiDPToQDPProof (SOUND transformation)

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

(178) Obligation:

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

SUM1783_IN_GGA(.(0, T6681), T6682) → SUM1783_IN_GGA(T6681, T6682)

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

(179) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1783_IN_GGA(.(0, T6681), T6682) → SUM1783_IN_GGA(T6681, T6682)
    The graph contains the following edges 1 > 1, 2 >= 2

(180) YES

(181) Obligation:

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

SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → SUM1895_IN_GGA(T6883, T6884, X12443)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM1895_IN_GGA(x1, x2, x3)  =  SUM1895_IN_GGA(x1, x2)

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

(182) UsableRulesProof (EQUIVALENT transformation)

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

(183) Obligation:

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

SUM1895_IN_GGA(.(0, T6883), T6884, X12443) → SUM1895_IN_GGA(T6883, T6884, X12443)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM1895_IN_GGA(x1, x2, x3)  =  SUM1895_IN_GGA(x1, x2)

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

(184) PiDPToQDPProof (SOUND transformation)

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

(185) Obligation:

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

SUM1895_IN_GGA(.(0, T6883), T6884) → SUM1895_IN_GGA(T6883, T6884)

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

(186) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM1895_IN_GGA(.(0, T6883), T6884) → SUM1895_IN_GGA(T6883, T6884)
    The graph contains the following edges 1 > 1, 2 >= 2

(187) YES

(188) Obligation:

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

SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → SUM2007_IN_GGA(T7085, T7086, X13142)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM2007_IN_GGA(x1, x2, x3)  =  SUM2007_IN_GGA(x1, x2)

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

(189) UsableRulesProof (EQUIVALENT transformation)

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

(190) Obligation:

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

SUM2007_IN_GGA(.(0, T7085), T7086, X13142) → SUM2007_IN_GGA(T7085, T7086, X13142)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM2007_IN_GGA(x1, x2, x3)  =  SUM2007_IN_GGA(x1, x2)

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

(191) PiDPToQDPProof (SOUND transformation)

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

(192) Obligation:

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

SUM2007_IN_GGA(.(0, T7085), T7086) → SUM2007_IN_GGA(T7085, T7086)

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

(193) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM2007_IN_GGA(.(0, T7085), T7086) → SUM2007_IN_GGA(T7085, T7086)
    The graph contains the following edges 1 > 1, 2 >= 2

(194) YES

(195) Obligation:

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

SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → SUM2121_IN_GGA(T7294, T7295, X13852)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM2121_IN_GGA(x1, x2, x3)  =  SUM2121_IN_GGA(x1, x2)

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

(196) UsableRulesProof (EQUIVALENT transformation)

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

(197) Obligation:

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

SUM2121_IN_GGA(.(0, T7294), T7295, X13852) → SUM2121_IN_GGA(T7294, T7295, X13852)

R is empty.
The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
0  =  0
SUM2121_IN_GGA(x1, x2, x3)  =  SUM2121_IN_GGA(x1, x2)

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

(198) PiDPToQDPProof (SOUND transformation)

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

(199) Obligation:

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

SUM2121_IN_GGA(.(0, T7294), T7295) → SUM2121_IN_GGA(T7294, T7295)

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

(200) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM2121_IN_GGA(.(0, T7294), T7295) → SUM2121_IN_GGA(T7294, T7295)
    The graph contains the following edges 1 > 1, 2 >= 2

(201) YES

(202) Obligation:

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

SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)

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

(203) UsableRulesProof (EQUIVALENT transformation)

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

(204) Obligation:

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

SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  SUM362_IN_GGGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)

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

(205) PiDPToQDPProof (SOUND transformation)

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

(206) Obligation:

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

SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285)

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

(207) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM362_IN_GGGGGGGGGA(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285) → SUM362_IN_GGGGGGGGGA(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9

(208) YES

(209) Obligation:

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

SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)

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

(210) UsableRulesProof (EQUIVALENT transformation)

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

(211) Obligation:

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

SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  SUM311_IN_GGGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)

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

(212) PiDPToQDPProof (SOUND transformation)

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

(213) Obligation:

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

SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786)

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

(214) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM311_IN_GGGGGGGGA(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786) → SUM311_IN_GGGGGGGGA(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8

(215) YES

(216) Obligation:

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

SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)

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

(217) UsableRulesProof (EQUIVALENT transformation)

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

(218) Obligation:

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

SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7, x8)  =  SUM260_IN_GGGGGGGA(x1, x2, x3, x4, x5, x6, x7)

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

(219) PiDPToQDPProof (SOUND transformation)

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

(220) Obligation:

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

SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349)

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

(221) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM260_IN_GGGGGGGA(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349) → SUM260_IN_GGGGGGGA(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7

(222) YES

(223) Obligation:

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

SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974, X1683)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)

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

(224) UsableRulesProof (EQUIVALENT transformation)

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

(225) Obligation:

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

SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974, X1683) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974, X1683)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6, x7)  =  SUM209_IN_GGGGGGA(x1, x2, x3, x4, x5, x6)

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

(226) PiDPToQDPProof (SOUND transformation)

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

(227) Obligation:

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

SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974)

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

(228) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM209_IN_GGGGGGA(s(T969), T970, T971, T972, T973, T974) → SUM209_IN_GGGGGGA(T969, T970, s(T971), T972, T973, T974)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4, 5 >= 5, 6 >= 6

(229) YES

(230) Obligation:

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

SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661, X1273)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM158_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM158_IN_GGGGGA(x1, x2, x3, x4, x5)

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

(231) UsableRulesProof (EQUIVALENT transformation)

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

(232) Obligation:

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

SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661, X1273) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661, X1273)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM158_IN_GGGGGA(x1, x2, x3, x4, x5, x6)  =  SUM158_IN_GGGGGA(x1, x2, x3, x4, x5)

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

(233) PiDPToQDPProof (SOUND transformation)

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

(234) Obligation:

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

SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661)

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

(235) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM158_IN_GGGGGA(s(T657), T658, T659, T660, T661) → SUM158_IN_GGGGGA(T657, T658, s(T659), T660, T661)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4, 5 >= 5

(236) YES

(237) Obligation:

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

SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → SUM107_IN_GGGGA(T407, T408, s(T409), T410, X863)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM107_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM107_IN_GGGGA(x1, x2, x3, x4)

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

(238) UsableRulesProof (EQUIVALENT transformation)

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

(239) Obligation:

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

SUM107_IN_GGGGA(s(T407), T408, T409, T410, X863) → SUM107_IN_GGGGA(T407, T408, s(T409), T410, X863)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM107_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM107_IN_GGGGA(x1, x2, x3, x4)

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

(240) PiDPToQDPProof (SOUND transformation)

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

(241) Obligation:

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

SUM107_IN_GGGGA(s(T407), T408, T409, T410) → SUM107_IN_GGGGA(T407, T408, s(T409), T410)

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

(242) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM107_IN_GGGGA(s(T407), T408, T409, T410) → SUM107_IN_GGGGA(T407, T408, s(T409), T410)
    The graph contains the following edges 1 > 1, 2 >= 2, 4 >= 4

(243) YES

(244) Obligation:

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

SUM55_IN_GGGA(s(T219), T220, T221, X453) → SUM55_IN_GGGA(T219, T220, s(T221), X453)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM55_IN_GGGA(x1, x2, x3, x4)  =  SUM55_IN_GGGA(x1, x2, x3)

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

(245) UsableRulesProof (EQUIVALENT transformation)

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

(246) Obligation:

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

SUM55_IN_GGGA(s(T219), T220, T221, X453) → SUM55_IN_GGGA(T219, T220, s(T221), X453)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM55_IN_GGGA(x1, x2, x3, x4)  =  SUM55_IN_GGGA(x1, x2, x3)

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

(247) PiDPToQDPProof (SOUND transformation)

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

(248) Obligation:

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

SUM55_IN_GGGA(s(T219), T220, T221) → SUM55_IN_GGGA(T219, T220, s(T221))

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

(249) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM55_IN_GGGA(s(T219), T220, T221) → SUM55_IN_GGGA(T219, T220, s(T221))
    The graph contains the following edges 1 > 1, 2 >= 2

(250) YES

(251) Obligation:

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

SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → SUM47_IN_GGGGA(T181, T182, T183, s(T184), X383)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
SUM47_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM47_IN_GGGGA(x1, x2, x3, x4)

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

(252) UsableRulesProof (EQUIVALENT transformation)

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

(253) Obligation:

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

SUM47_IN_GGGGA(s(T181), T182, T183, T184, X383) → SUM47_IN_GGGGA(T181, T182, T183, s(T184), X383)

R is empty.
The argument filtering Pi contains the following mapping:
s(x1)  =  s(x1)
SUM47_IN_GGGGA(x1, x2, x3, x4, x5)  =  SUM47_IN_GGGGA(x1, x2, x3, x4)

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

(254) PiDPToQDPProof (SOUND transformation)

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

(255) Obligation:

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

SUM47_IN_GGGGA(s(T181), T182, T183, T184) → SUM47_IN_GGGGA(T181, T182, T183, s(T184))

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

(256) QDPSizeChangeProof (EQUIVALENT transformation)

By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:

  • SUM47_IN_GGGGA(s(T181), T182, T183, T184) → SUM47_IN_GGGGA(T181, T182, T183, s(T184))
    The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3

(257) YES

(258) Obligation:

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

WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U221_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30, T11)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U224_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → WEIGHT1_IN_GA(T7109, T11)

The TRS R consists of the following rules:

weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U220_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, X43))
sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U220_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, X43)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)
weight1_in_ga(.(s(T24), .(T25, T26)), T11) → U221_ga(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_ga(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → U222_ga(T24, T25, T26, T11, weight1_in_ga(T30, T11))
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U223_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, X13210))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U223_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, X13210)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
weight1_in_ga(.(0, .(T7105, T7106)), T11) → U224_ga(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_ga(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → U225_ga(T7105, T7106, T11, weight1_in_ga(T7109, T11))
weight1_in_ga(.(T7308, []), T7308) → weight1_out_ga(.(T7308, []), T7308)
U225_ga(T7105, T7106, T11, weight1_out_ga(T7109, T11)) → weight1_out_ga(.(0, .(T7105, T7106)), T11)
U222_ga(T24, T25, T26, T11, weight1_out_ga(T30, T11)) → weight1_out_ga(.(s(T24), .(T25, T26)), T11)

The argument filtering Pi contains the following mapping:
weight1_in_ga(x1, x2)  =  weight1_in_ga(x1)
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
U220_ga(x1, x2, x3, x4, x5)  =  U220_ga(x1, x2, x3, x5)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
weight1_out_ga(x1, x2)  =  weight1_out_ga(x1)
U221_ga(x1, x2, x3, x4, x5)  =  U221_ga(x1, x2, x3, x5)
U222_ga(x1, x2, x3, x4, x5)  =  U222_ga(x1, x2, x3, x5)
U223_ga(x1, x2, x3, x4)  =  U223_ga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
U224_ga(x1, x2, x3, x4)  =  U224_ga(x1, x2, x4)
U225_ga(x1, x2, x3, x4)  =  U225_ga(x1, x2, x4)
WEIGHT1_IN_GA(x1, x2)  =  WEIGHT1_IN_GA(x1)
U221_GA(x1, x2, x3, x4, x5)  =  U221_GA(x1, x2, x3, x5)
U224_GA(x1, x2, x3, x4)  =  U224_GA(x1, x2, x4)

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

(259) UsableRulesProof (EQUIVALENT transformation)

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

(260) Obligation:

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

WEIGHT1_IN_GA(.(s(T24), .(T25, T26)), T11) → U221_GA(T24, T25, T26, T11, sum10_in_ggga(T24, T25, T26, T30))
U221_GA(T24, T25, T26, T11, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30, T11)
WEIGHT1_IN_GA(.(0, .(T7105, T7106)), T11) → U224_GA(T7105, T7106, T11, sum2047_in_gga(T7105, T7106, T7109))
U224_GA(T7105, T7106, T11, sum2047_out_gga(T7105, T7106, T7109)) → WEIGHT1_IN_GA(T7109, T11)

The TRS R consists of the following rules:

sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336) → U203_ggga(T154, T155, T156, X336, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336))
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264) → U204_ggga(T5653, T5654, X8264, sum1253_in_gga(T5653, T5654, X8264))
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011) → U205_ggga(T5889, T5890, X9011, sum1373_in_gga(T5889, T5890, X9011))
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092, X9710) → U206_ggga(T6091, T6092, X9710, sum1485_in_gga(T6091, T6092, X9710))
sum10_in_ggga(s(s(s(0))), T6293, T6294, X10409) → U207_ggga(T6293, T6294, X10409, sum1597_in_gga(T6293, T6294, X10409))
sum10_in_ggga(s(s(0)), T6495, T6496, X11108) → U208_ggga(T6495, T6496, X11108, sum1709_in_gga(T6495, T6496, X11108))
sum10_in_ggga(s(0), T6697, T6698, X11807) → U209_ggga(T6697, T6698, X11807, sum1821_in_gga(T6697, T6698, X11807))
sum10_in_ggga(0, T6899, T6900, X12506) → U210_ggga(T6899, T6900, X12506, sum1933_in_gga(T6899, T6900, X12506))
sum2047_in_gga(s(T7120), T7121, X13255) → U211_gga(T7120, T7121, X13255, sum1933_in_gga(T7120, T7121, X13255))
sum2047_in_gga(0, .(s(T7139), T7140), X13325) → U212_gga(T7139, T7140, X13325, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140), X13325))
sum2047_in_gga(0, .(0, .(s(T7158), T7159)), X13395) → U213_gga(T7158, T7159, X13395, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395))
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465) → U214_gga(T7177, T7178, X13465, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465))
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535) → U215_gga(T7196, T7197, X13535, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605) → U216_gga(T7215, T7216, X13605, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675) → U217_gga(T7234, T7235, X13675, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745) → U218_gga(T7253, T7254, X13745, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776) → U219_gga(T7261, X13776, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, [])), .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, []), .(0, .(0, []))) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, [], .(0, [])) → sum2047_out_gga(0, [], .(0, []))
U203_ggga(T154, T155, T156, X336, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
U204_ggga(T5653, T5654, X8264, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
U205_ggga(T5889, T5890, X9011, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
U206_ggga(T6091, T6092, X9710, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
U207_ggga(T6293, T6294, X10409, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
U208_ggga(T6495, T6496, X11108, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
U209_ggga(T6697, T6698, X11807, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
U210_ggga(T6899, T6900, X12506, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U211_gga(T7120, T7121, X13255, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
U212_gga(T7139, T7140, X13325, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
U213_gga(T7158, T7159, X13395, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
U214_gga(T7177, T7178, X13465, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
U215_gga(T7196, T7197, X13535, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
U216_gga(T7215, T7216, X13605, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
U217_gga(T7234, T7235, X13675, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
U218_gga(T7253, T7254, X13745, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
U219_gga(T7261, X13776, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum47_in_gggga(s(T181), T182, T183, T184, X383) → U1_gggga(T181, T182, T183, T184, X383, sum47_in_gggga(T181, T182, T183, s(T184), X383))
sum47_in_gggga(0, T201, T202, T203, X414) → U2_gggga(T201, T202, T203, X414, sum55_in_ggga(T201, T202, T203, X414))
sum1253_in_gga(s(T5665), T5666, X8303) → U93_gga(T5665, T5666, X8303, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303))
sum1253_in_gga(0, .(s(T5688), T5689), X8379) → U94_gga(T5688, T5689, X8379, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379))
sum1253_in_gga(0, .(0, .(s(T5711), T5712)), X8455) → U95_gga(T5711, T5712, X8455, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455))
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531) → U96_gga(T5734, T5735, X8531, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531))
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607) → U97_gga(T5757, T5758, X8607, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683) → U98_gga(T5780, T5781, X8683, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759) → U99_gga(T5803, T5804, X8759, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835) → U100_gga(T5826, T5827, X8835, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872) → U101_gga(T5840, X8872, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, []))) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, [], .(s(s(s(s(s(s(s(0))))))), [])) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
sum1373_in_gga(s(T5901), T5902, X9050) → U104_gga(T5901, T5902, X9050, sum1253_in_gga(T5901, T5902, X9050))
sum1373_in_gga(0, .(s(T5920), T5921), X9120) → U105_gga(T5920, T5921, X9120, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921), X9120))
sum1373_in_gga(0, .(0, .(s(T5939), T5940)), X9190) → U106_gga(T5939, T5940, X9190, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190))
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260) → U107_gga(T5958, T5959, X9260, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260))
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330) → U108_gga(T5977, T5978, X9330, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400) → U109_gga(T5996, T5997, X9400, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470) → U110_gga(T6015, T6016, X9470, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540) → U111_gga(T6034, T6035, X9540, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571) → U112_gga(T6042, X9571, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, []))) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, [], .(s(s(s(s(s(s(0)))))), [])) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
sum1485_in_gga(s(T6103), T6104, X9749) → U115_gga(T6103, T6104, X9749, sum1373_in_gga(T6103, T6104, X9749))
sum1485_in_gga(0, .(s(T6122), T6123), X9819) → U116_gga(T6122, T6123, X9819, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123), X9819))
sum1485_in_gga(0, .(0, .(s(T6141), T6142)), X9889) → U117_gga(T6141, T6142, X9889, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889))
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959) → U118_gga(T6160, T6161, X9959, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959))
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029) → U119_gga(T6179, T6180, X10029, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099) → U120_gga(T6198, T6199, X10099, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169) → U121_gga(T6217, T6218, X10169, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239) → U122_gga(T6236, T6237, X10239, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270) → U123_gga(T6244, X10270, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, []))) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, [], .(s(s(s(s(s(0))))), [])) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
sum1597_in_gga(s(T6305), T6306, X10448) → U126_gga(T6305, T6306, X10448, sum1485_in_gga(T6305, T6306, X10448))
sum1597_in_gga(0, .(s(T6324), T6325), X10518) → U127_gga(T6324, T6325, X10518, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325), X10518))
sum1597_in_gga(0, .(0, .(s(T6343), T6344)), X10588) → U128_gga(T6343, T6344, X10588, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588))
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658) → U129_gga(T6362, T6363, X10658, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658))
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728) → U130_gga(T6381, T6382, X10728, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798) → U131_gga(T6400, T6401, X10798, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868) → U132_gga(T6419, T6420, X10868, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938) → U133_gga(T6438, T6439, X10938, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969) → U134_gga(T6446, X10969, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, []))) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, [], .(s(s(s(s(0)))), [])) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
sum1709_in_gga(s(T6507), T6508, X11147) → U137_gga(T6507, T6508, X11147, sum1597_in_gga(T6507, T6508, X11147))
sum1709_in_gga(0, .(s(T6526), T6527), X11217) → U138_gga(T6526, T6527, X11217, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527), X11217))
sum1709_in_gga(0, .(0, .(s(T6545), T6546)), X11287) → U139_gga(T6545, T6546, X11287, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287))
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357) → U140_gga(T6564, T6565, X11357, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357))
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427) → U141_gga(T6583, T6584, X11427, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497) → U142_gga(T6602, T6603, X11497, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567) → U143_gga(T6621, T6622, X11567, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637) → U144_gga(T6640, T6641, X11637, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668) → U145_gga(T6648, X11668, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, []), .(s(s(s(0))), .(0, []))) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, [], .(s(s(s(0))), [])) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
sum1821_in_gga(s(T6709), T6710, X11846) → U148_gga(T6709, T6710, X11846, sum1709_in_gga(T6709, T6710, X11846))
sum1821_in_gga(0, .(s(T6728), T6729), X11916) → U149_gga(T6728, T6729, X11916, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729), X11916))
sum1821_in_gga(0, .(0, .(s(T6747), T6748)), X11986) → U150_gga(T6747, T6748, X11986, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986))
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056) → U151_gga(T6766, T6767, X12056, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056))
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126) → U152_gga(T6785, T6786, X12126, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196) → U153_gga(T6804, T6805, X12196, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266) → U154_gga(T6823, T6824, X12266, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336) → U155_gga(T6842, T6843, X12336, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367) → U156_gga(T6850, X12367, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, []), .(s(s(0)), .(0, []))) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, [], .(s(s(0)), [])) → sum1821_out_gga(0, [], .(s(s(0)), []))
sum1933_in_gga(s(T6911), T6912, X12545) → U159_gga(T6911, T6912, X12545, sum1821_in_gga(T6911, T6912, X12545))
sum1933_in_gga(0, .(s(T6930), T6931), X12615) → U160_gga(T6930, T6931, X12615, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931), X12615))
sum1933_in_gga(0, .(0, .(s(T6949), T6950)), X12685) → U161_gga(T6949, T6950, X12685, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685))
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755) → U162_gga(T6968, T6969, X12755, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755))
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825) → U163_gga(T6987, T6988, X12825, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895) → U164_gga(T7006, T7007, X12895, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965) → U165_gga(T7025, T7026, X12965, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035) → U166_gga(T7044, T7045, X13035, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066) → U167_gga(T7052, X13066, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, []), .(s(0), .(0, []))) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, [], .(s(0), [])) → sum1933_out_gga(0, [], .(s(0), []))
sum2007_in_gga(.(s(T7071), T7072), T7073, X13111) → U157_gga(T7071, T7072, T7073, X13111, sum1895_in_gga(.(T7071, T7072), T7073, X13111))
sum2007_in_gga(.(0, T7085), T7086, X13142) → U158_gga(T7085, T7086, X13142, sum2007_in_gga(T7085, T7086, X13142))
sum2121_in_gga(.(s(T7280), T7281), T7282, X13821) → U168_gga(T7280, T7281, T7282, X13821, sum2007_in_gga(.(T7280, T7281), T7282, X13821))
sum2121_in_gga(.(0, T7294), T7295, X13852) → U169_gga(T7294, T7295, X13852, sum2121_in_gga(T7294, T7295, X13852))
sum2121_in_gga([], T7301, .(0, T7301)) → sum2121_out_gga([], T7301, .(0, T7301))
U1_gggga(T181, T182, T183, T184, X383, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U2_gggga(T201, T202, T203, X414, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U93_gga(T5665, T5666, X8303, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
U94_gga(T5688, T5689, X8379, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
U95_gga(T5711, T5712, X8455, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
U96_gga(T5734, T5735, X8531, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
U97_gga(T5757, T5758, X8607, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
U98_gga(T5780, T5781, X8683, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
U99_gga(T5803, T5804, X8759, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
U100_gga(T5826, T5827, X8835, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
U101_gga(T5840, X8872, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
U104_gga(T5901, T5902, X9050, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
U105_gga(T5920, T5921, X9120, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
U106_gga(T5939, T5940, X9190, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
U107_gga(T5958, T5959, X9260, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
U108_gga(T5977, T5978, X9330, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
U109_gga(T5996, T5997, X9400, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
U110_gga(T6015, T6016, X9470, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
U111_gga(T6034, T6035, X9540, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
U112_gga(T6042, X9571, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
U115_gga(T6103, T6104, X9749, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
U116_gga(T6122, T6123, X9819, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
U117_gga(T6141, T6142, X9889, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
U118_gga(T6160, T6161, X9959, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
U119_gga(T6179, T6180, X10029, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
U120_gga(T6198, T6199, X10099, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
U121_gga(T6217, T6218, X10169, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
U122_gga(T6236, T6237, X10239, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
U123_gga(T6244, X10270, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
U126_gga(T6305, T6306, X10448, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
U127_gga(T6324, T6325, X10518, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
U128_gga(T6343, T6344, X10588, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
U129_gga(T6362, T6363, X10658, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
U130_gga(T6381, T6382, X10728, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
U131_gga(T6400, T6401, X10798, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
U132_gga(T6419, T6420, X10868, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
U133_gga(T6438, T6439, X10938, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
U134_gga(T6446, X10969, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
U137_gga(T6507, T6508, X11147, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
U138_gga(T6526, T6527, X11217, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
U139_gga(T6545, T6546, X11287, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
U140_gga(T6564, T6565, X11357, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
U141_gga(T6583, T6584, X11427, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
U142_gga(T6602, T6603, X11497, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
U143_gga(T6621, T6622, X11567, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
U144_gga(T6640, T6641, X11637, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
U145_gga(T6648, X11668, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
U148_gga(T6709, T6710, X11846, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
U149_gga(T6728, T6729, X11916, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
U150_gga(T6747, T6748, X11986, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
U151_gga(T6766, T6767, X12056, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
U152_gga(T6785, T6786, X12126, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
U153_gga(T6804, T6805, X12196, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
U154_gga(T6823, T6824, X12266, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
U155_gga(T6842, T6843, X12336, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
U156_gga(T6850, X12367, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
U159_gga(T6911, T6912, X12545, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
U160_gga(T6930, T6931, X12615, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
U161_gga(T6949, T6950, X12685, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
U162_gga(T6968, T6969, X12755, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
U163_gga(T6987, T6988, X12825, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
U164_gga(T7006, T7007, X12895, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
U165_gga(T7025, T7026, X12965, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
U166_gga(T7044, T7045, X13035, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
U167_gga(T7052, X13066, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
U157_gga(T7071, T7072, T7073, X13111, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
U158_gga(T7085, T7086, X13142, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U168_gga(T7280, T7281, T7282, X13821, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
U169_gga(T7294, T7295, X13852, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
sum55_in_ggga(s(T219), T220, T221, X453) → U3_ggga(T219, T220, T221, X453, sum55_in_ggga(T219, T220, s(T221), X453))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769) → U4_ggga(T358, T359, T360, X769, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938) → U5_ggga(T4113, T4114, T4115, X4938, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008) → U6_ggga(T4144, T4145, T4146, X5008, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078) → U7_ggga(T4175, T4176, T4177, X5078, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148) → U8_ggga(T4206, T4207, T4208, X5148, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218) → U9_ggga(T4237, T4238, T4239, X5218, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288) → U10_ggga(T4268, T4269, T4270, X5288, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319) → U11_ggga(T4282, T4283, X5319, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418) → U12_ggga(T4335, T4336, T4337, X5418, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488) → U13_ggga(T4366, T4367, T4368, X5488, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558) → U14_ggga(T4397, T4398, T4399, X5558, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628) → U15_ggga(T4428, T4429, T4430, X5628, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698) → U16_ggga(T4459, T4460, T4461, X5698, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768) → U17_ggga(T4490, T4491, T4492, X5768, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799) → U18_ggga(T4504, T4505, X5799, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), []))) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898) → U19_ggga(T4557, T4558, T4559, X5898, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968) → U20_ggga(T4588, T4589, T4590, X5968, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038) → U21_ggga(T4619, T4620, T4621, X6038, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108) → U22_ggga(T4650, T4651, T4652, X6108, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178) → U23_ggga(T4681, T4682, T4683, X6178, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248) → U24_ggga(T4712, T4713, T4714, X6248, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279) → U25_ggga(T4726, T4727, X6279, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), []))) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378) → U26_ggga(T4779, T4780, T4781, X6378, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448) → U27_ggga(T4810, T4811, T4812, X6448, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518) → U28_ggga(T4841, T4842, T4843, X6518, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588) → U29_ggga(T4872, T4873, T4874, X6588, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658) → U30_ggga(T4903, T4904, T4905, X6658, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728) → U31_ggga(T4934, T4935, T4936, X6728, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759) → U32_ggga(T4948, T4949, X6759, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, [])))) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), []))) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858) → U33_ggga(T5001, T5002, T5003, X6858, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858))
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928) → U34_ggga(T5032, T5033, T5034, X6928, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998) → U35_ggga(T5063, T5064, T5065, X6998, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068) → U36_ggga(T5094, T5095, T5096, X7068, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138) → U37_ggga(T5125, T5126, T5127, X7138, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208) → U38_ggga(T5156, T5157, T5158, X7208, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239) → U39_ggga(T5170, T5171, X7239, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, [])))) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), []))) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338) → U40_ggga(T5223, T5224, T5225, X7338, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338))
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408) → U41_ggga(T5254, T5255, T5256, X7408, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478) → U42_ggga(T5285, T5286, T5287, X7478, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548) → U43_ggga(T5316, T5317, T5318, X7548, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618) → U44_ggga(T5347, T5348, T5349, X7618, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688) → U45_ggga(T5378, T5379, T5380, X7688, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719) → U46_ggga(T5392, T5393, X7719, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, []))))) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, [])))) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), []))) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818) → U47_ggga(T5445, T5446, T5447, X7818, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818))
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888) → U48_ggga(T5476, T5477, T5478, X7888, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888))
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958) → U49_ggga(T5507, T5508, T5509, X7958, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028) → U50_ggga(T5538, T5539, T5540, X8028, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098) → U51_ggga(T5569, T5570, T5571, X8098, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168) → U52_ggga(T5600, T5601, T5602, X8168, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199) → U53_ggga(T5614, T5615, X8199, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, []))))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, [])))))) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, []))))) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, [])))) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641, .(s(T5641), .(0, []))) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644, .(s(T5644), [])) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466, X3100) → U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_in_gggga(T2463, T2464, s(T2465), T2466, X3100))
sum385_in_ggga(.(0, T2483), T2484, T2485, X3131) → U90_ggga(T2483, T2484, T2485, X3131, sum385_in_ggga(T2483, T2484, T2485, X3131))
sum1335_in_gga(.(s(T5859), T5860), T5861, X8917) → U91_gga(T5859, T5860, T5861, X8917, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917))
sum1335_in_gga(.(0, T5873), T5874, X8948) → U92_gga(T5873, T5874, X8948, sum1335_in_gga(T5873, T5874, X8948))
sum1335_in_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880)) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
sum1447_in_gga(.(s(T6061), T6062), T6063, X9616) → U102_gga(T6061, T6062, T6063, X9616, sum1335_in_gga(.(T6061, T6062), T6063, X9616))
sum1447_in_gga(.(0, T6075), T6076, X9647) → U103_gga(T6075, T6076, X9647, sum1447_in_gga(T6075, T6076, X9647))
sum1447_in_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082)) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
sum1559_in_gga(.(s(T6263), T6264), T6265, X10315) → U113_gga(T6263, T6264, T6265, X10315, sum1447_in_gga(.(T6263, T6264), T6265, X10315))
sum1559_in_gga(.(0, T6277), T6278, X10346) → U114_gga(T6277, T6278, X10346, sum1559_in_gga(T6277, T6278, X10346))
sum1559_in_gga([], T6284, .(s(s(s(s(s(0))))), T6284)) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
sum1671_in_gga(.(s(T6465), T6466), T6467, X11014) → U124_gga(T6465, T6466, T6467, X11014, sum1559_in_gga(.(T6465, T6466), T6467, X11014))
sum1671_in_gga(.(0, T6479), T6480, X11045) → U125_gga(T6479, T6480, X11045, sum1671_in_gga(T6479, T6480, X11045))
sum1671_in_gga([], T6486, .(s(s(s(s(0)))), T6486)) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
sum1783_in_gga(.(s(T6667), T6668), T6669, X11713) → U135_gga(T6667, T6668, T6669, X11713, sum1671_in_gga(.(T6667, T6668), T6669, X11713))
sum1783_in_gga(.(0, T6681), T6682, X11744) → U136_gga(T6681, T6682, X11744, sum1783_in_gga(T6681, T6682, X11744))
sum1783_in_gga([], T6688, .(s(s(s(0))), T6688)) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
sum1895_in_gga(.(s(T6869), T6870), T6871, X12412) → U146_gga(T6869, T6870, T6871, X12412, sum1783_in_gga(.(T6869, T6870), T6871, X12412))
sum1895_in_gga(.(0, T6883), T6884, X12443) → U147_gga(T6883, T6884, X12443, sum1895_in_gga(T6883, T6884, X12443))
sum1895_in_gga([], T6890, .(s(s(0)), T6890)) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
sum2007_in_gga([], T7092, .(s(0), T7092)) → sum2007_out_gga([], T7092, .(s(0), T7092))
U3_ggga(T219, T220, T221, X453, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U4_ggga(T358, T359, T360, X769, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
U5_ggga(T4113, T4114, T4115, X4938, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
U6_ggga(T4144, T4145, T4146, X5008, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
U7_ggga(T4175, T4176, T4177, X5078, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
U8_ggga(T4206, T4207, T4208, X5148, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
U9_ggga(T4237, T4238, T4239, X5218, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
U10_ggga(T4268, T4269, T4270, X5288, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
U11_ggga(T4282, T4283, X5319, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
U12_ggga(T4335, T4336, T4337, X5418, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
U13_ggga(T4366, T4367, T4368, X5488, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
U14_ggga(T4397, T4398, T4399, X5558, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
U15_ggga(T4428, T4429, T4430, X5628, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
U16_ggga(T4459, T4460, T4461, X5698, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
U17_ggga(T4490, T4491, T4492, X5768, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
U18_ggga(T4504, T4505, X5799, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
U19_ggga(T4557, T4558, T4559, X5898, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
U20_ggga(T4588, T4589, T4590, X5968, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
U21_ggga(T4619, T4620, T4621, X6038, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
U22_ggga(T4650, T4651, T4652, X6108, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
U23_ggga(T4681, T4682, T4683, X6178, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
U24_ggga(T4712, T4713, T4714, X6248, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
U25_ggga(T4726, T4727, X6279, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
U26_ggga(T4779, T4780, T4781, X6378, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
U27_ggga(T4810, T4811, T4812, X6448, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
U28_ggga(T4841, T4842, T4843, X6518, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
U29_ggga(T4872, T4873, T4874, X6588, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
U30_ggga(T4903, T4904, T4905, X6658, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
U31_ggga(T4934, T4935, T4936, X6728, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
U32_ggga(T4948, T4949, X6759, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
U33_ggga(T5001, T5002, T5003, X6858, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
U34_ggga(T5032, T5033, T5034, X6928, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
U35_ggga(T5063, T5064, T5065, X6998, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
U36_ggga(T5094, T5095, T5096, X7068, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
U37_ggga(T5125, T5126, T5127, X7138, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
U38_ggga(T5156, T5157, T5158, X7208, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
U39_ggga(T5170, T5171, X7239, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
U40_ggga(T5223, T5224, T5225, X7338, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
U41_ggga(T5254, T5255, T5256, X7408, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
U42_ggga(T5285, T5286, T5287, X7478, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
U43_ggga(T5316, T5317, T5318, X7548, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
U44_ggga(T5347, T5348, T5349, X7618, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
U45_ggga(T5378, T5379, T5380, X7688, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
U46_ggga(T5392, T5393, X7719, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
U47_ggga(T5445, T5446, T5447, X7818, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
U48_ggga(T5476, T5477, T5478, X7888, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
U49_ggga(T5507, T5508, T5509, X7958, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
U50_ggga(T5538, T5539, T5540, X8028, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
U51_ggga(T5569, T5570, T5571, X8098, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
U52_ggga(T5600, T5601, T5602, X8168, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
U53_ggga(T5614, T5615, X8199, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
U89_ggga(T2463, T2464, T2465, T2466, X3100, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
U90_ggga(T2483, T2484, T2485, X3131, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U91_gga(T5859, T5860, T5861, X8917, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
U92_gga(T5873, T5874, X8948, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U102_gga(T6061, T6062, T6063, X9616, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
U103_gga(T6075, T6076, X9647, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U113_gga(T6263, T6264, T6265, X10315, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
U114_gga(T6277, T6278, X10346, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U124_gga(T6465, T6466, T6467, X11014, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
U125_gga(T6479, T6480, X11045, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U135_gga(T6667, T6668, T6669, X11713, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
U136_gga(T6681, T6682, X11744, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U146_gga(T6869, T6870, T6871, X12412, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
U147_gga(T6883, T6884, X12443, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
sum101_in_ggga(s(T380), T381, T382, X816) → U170_ggga(T380, T381, T382, X816, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816))
sum101_in_ggga(0, .(s(T3891), T3892), T3893, X4458) → U171_ggga(T3891, T3892, T3893, X4458, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458))
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528) → U172_ggga(T3922, T3923, T3924, X4528, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528))
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598) → U173_ggga(T3953, T3954, T3955, X4598, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598))
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668) → U174_ggga(T3984, T3985, T3986, X4668, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738) → U175_ggga(T4015, T4016, T4017, X4738, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808) → U176_ggga(T4046, T4047, T4048, X4808, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839) → U177_ggga(T4060, T4061, X4839, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, [])))) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), []))) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
sum385_in_ggga([], T2494, T2495, .(s(T2494), T2495)) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
sum377_in_gggga(s(T2420), T2421, T2422, T2423, X3030) → U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_in_gggga(T2420, T2421, s(T2422), T2423, X3030))
sum377_in_gggga(0, T2440, T2441, T2442, X3061) → U88_gggga(T2440, T2441, T2442, X3061, sum385_in_ggga(T2440, T2441, T2442, X3061))
U170_ggga(T380, T381, T382, X816, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
U171_ggga(T3891, T3892, T3893, X4458, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
U172_ggga(T3922, T3923, T3924, X4528, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
U173_ggga(T3953, T3954, T3955, X4598, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
U174_ggga(T3984, T3985, T3986, X4668, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
U175_ggga(T4015, T4016, T4017, X4738, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
U176_ggga(T4046, T4047, T4048, X4808, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
U177_ggga(T4060, T4061, X4839, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
U87_gggga(T2420, T2421, T2422, T2423, X3030, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U88_gggga(T2440, T2441, T2442, X3061, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
sum107_in_gggga(s(T407), T408, T409, T410, X863) → U54_gggga(T407, T408, T409, T410, X863, sum107_in_gggga(T407, T408, s(T409), T410, X863))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138) → U55_gggga(T570, T571, T572, T573, X1138, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138))
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235) → U56_gggga(T3758, T3759, T3760, X4235, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235))
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265) → U57_gggga(T3777, T3778, T3779, X4265, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265))
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295) → U58_gggga(T3796, T3797, T3798, X4295, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295))
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325) → U59_gggga(T3815, T3816, T3817, X4325, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325))
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836, X4355) → U60_gggga(T3834, T3835, T3836, X4355, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355))
sum107_in_gggga(0, .(0, T3853), T3854, T3855, X4385) → U61_gggga(T3853, T3854, T3855, X4385, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385))
sum107_in_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), []))) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, X863, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U55_gggga(T570, T571, T572, T573, X1138, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
U56_gggga(T3758, T3759, T3760, X4235, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
U57_gggga(T3777, T3778, T3779, X4265, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
U58_gggga(T3796, T3797, T3798, X4295, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
U59_gggga(T3815, T3816, T3817, X4325, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
U60_gggga(T3834, T3835, T3836, X4355, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
U61_gggga(T3853, T3854, T3855, X4385, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum147_in_gggga(s(s(T623)), T624, T625, T626, X1226) → U178_gggga(T623, T624, T625, T626, X1226, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226))
sum147_in_gggga(s(0), T3720, T3721, T3722, X4175) → U179_gggga(T3720, T3721, T3722, X4175, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175))
sum147_in_gggga(0, T3739, T3740, T3741, X4205) → U180_gggga(T3739, T3740, T3741, X4205, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205))
U178_gggga(T623, T624, T625, T626, X1226, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
U179_gggga(T3720, T3721, T3722, X4175, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
U180_gggga(T3739, T3740, T3741, X4205, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
sum158_in_ggggga(s(T657), T658, T659, T660, T661, X1273) → U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_in_ggggga(T657, T658, s(T659), T660, T661, X1273))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507) → U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507))
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021) → U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021))
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051) → U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051))
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081) → U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081))
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111) → U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111))
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141) → U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141))
sum158_in_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), [])))) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, X1273, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U63_ggggga(T832, T833, T834, T835, T836, X1507, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
U64_ggggga(T3590, T3591, T3592, T3593, X4021, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
U65_ggggga(T3615, T3616, T3617, T3618, X4051, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
U66_ggggga(T3640, T3641, T3642, T3643, X4081, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
U67_ggggga(T3665, T3666, T3667, T3668, X4111, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
U68_ggggga(T3690, T3691, T3692, T3693, X4141, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636) → U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636))
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931) → U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931))
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543, X3961) → U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961))
sum193_in_ggggga(0, T3565, T3566, T3567, T3568, X3991) → U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991))
U181_ggggga(T928, T929, T930, T931, T932, X1636, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
U182_ggggga(T3515, T3516, T3517, T3518, X3931, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
U183_ggggga(T3540, T3541, T3542, T3543, X3961, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
U184_ggggga(T3565, T3566, T3567, T3568, X3991, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974, X1683) → U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974, X1683))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876))
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807))
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837))
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867))
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897))
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), []))))) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, X1683, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, X1876, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
U71_gggggga(T3383, T3384, T3385, T3386, T3387, X3807, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
U72_gggggga(T3414, T3415, T3416, T3417, T3418, X3837, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
U73_gggggga(T3445, T3446, T3447, T3448, T3449, X3867, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
U74_gggggga(T3476, T3477, T3478, T3479, T3480, X3897, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046))
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687))
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717))
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747))
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777))
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, X2046, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
U186_gggggga(T3259, T3260, T3261, T3262, T3263, X3687, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
U187_gggggga(T3290, T3291, T3292, T3293, T3294, X3717, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
U188_gggggga(T3321, T3322, T3323, T3324, T3325, X3747, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
U189_gggggga(T3352, T3353, T3354, T3355, T3356, X3777, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245))
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593))
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623))
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653))
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), [])))))) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, X2093, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, X2245, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, X3593, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, X3623, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, X3653, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456))
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443))
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473))
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503))
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533))
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563))
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, X2456, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, X3443, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, X3473, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, X3503, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, X3533, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, X3563, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614))
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379))
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409))
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), []))))))) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, X2614, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, X3379, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, X3409, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866))
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199))
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229))
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259))
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289))
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319))
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349))
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983))
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165))
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), [])))))))) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)

The argument filtering Pi contains the following mapping:
.(x1, x2)  =  .(x1, x2)
s(x1)  =  s(x1)
sum10_in_ggga(x1, x2, x3, x4)  =  sum10_in_ggga(x1, x2, x3)
U203_ggga(x1, x2, x3, x4, x5)  =  U203_ggga(x1, x2, x3, x5)
sum47_in_gggga(x1, x2, x3, x4, x5)  =  sum47_in_gggga(x1, x2, x3, x4)
U1_gggga(x1, x2, x3, x4, x5, x6)  =  U1_gggga(x1, x2, x3, x4, x6)
0  =  0
U2_gggga(x1, x2, x3, x4, x5)  =  U2_gggga(x1, x2, x3, x5)
sum55_in_ggga(x1, x2, x3, x4)  =  sum55_in_ggga(x1, x2, x3)
U3_ggga(x1, x2, x3, x4, x5)  =  U3_ggga(x1, x2, x3, x5)
U4_ggga(x1, x2, x3, x4, x5)  =  U4_ggga(x1, x2, x3, x5)
sum101_in_ggga(x1, x2, x3, x4)  =  sum101_in_ggga(x1, x2, x3)
U170_ggga(x1, x2, x3, x4, x5)  =  U170_ggga(x1, x2, x3, x5)
sum107_in_gggga(x1, x2, x3, x4, x5)  =  sum107_in_gggga(x1, x2, x3, x4)
U54_gggga(x1, x2, x3, x4, x5, x6)  =  U54_gggga(x1, x2, x3, x4, x6)
U55_gggga(x1, x2, x3, x4, x5, x6)  =  U55_gggga(x1, x2, x3, x4, x6)
sum147_in_gggga(x1, x2, x3, x4, x5)  =  sum147_in_gggga(x1, x2, x3, x4)
U178_gggga(x1, x2, x3, x4, x5, x6)  =  U178_gggga(x1, x2, x3, x4, x6)
sum158_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_in_ggggga(x1, x2, x3, x4, x5)
U62_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U62_ggggga(x1, x2, x3, x4, x5, x7)
U63_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U63_ggggga(x1, x2, x3, x4, x5, x7)
sum193_in_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_in_ggggga(x1, x2, x3, x4, x5)
U181_ggggga(x1, x2, x3, x4, x5, x6, x7)  =  U181_ggggga(x1, x2, x3, x4, x5, x7)
sum209_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_in_gggggga(x1, x2, x3, x4, x5, x6)
U69_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U69_gggggga(x1, x2, x3, x4, x5, x6, x8)
U70_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U70_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_in_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_in_gggggga(x1, x2, x3, x4, x5, x6)
U185_gggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U185_gggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)
U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11)  =  U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x11)
sum377_in_gggga(x1, x2, x3, x4, x5)  =  sum377_in_gggga(x1, x2, x3, x4)
U87_gggga(x1, x2, x3, x4, x5, x6)  =  U87_gggga(x1, x2, x3, x4, x6)
U88_gggga(x1, x2, x3, x4, x5)  =  U88_gggga(x1, x2, x3, x5)
sum385_in_ggga(x1, x2, x3, x4)  =  sum385_in_ggga(x1, x2, x3)
U89_ggga(x1, x2, x3, x4, x5, x6)  =  U89_ggga(x1, x2, x3, x4, x6)
sum377_out_gggga(x1, x2, x3, x4, x5)  =  sum377_out_gggga(x1, x2, x3, x4, x5)
sum385_out_ggga(x1, x2, x3, x4)  =  sum385_out_ggga(x1, x2, x3, x4)
U90_ggga(x1, x2, x3, x4, x5)  =  U90_ggga(x1, x2, x3, x5)
[]  =  []
sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)  =  U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x10)
sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)
U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)  =  U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x9)
sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U191_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U191_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U192_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U192_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U193_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U193_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U194_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U194_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U195_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U195_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)
U77_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U77_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U78_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U78_ggggggga(x1, x2, x3, x4, x5, x6, x8)
U79_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)  =  U79_ggggggga(x1, x2, x3, x4, x5, x6, x8)
sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U186_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U186_gggggga(x1, x2, x3, x4, x5, x7)
U187_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U187_gggggga(x1, x2, x3, x4, x5, x7)
U188_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U188_gggggga(x1, x2, x3, x4, x5, x7)
U189_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U189_gggggga(x1, x2, x3, x4, x5, x7)
sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)
U71_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U71_gggggga(x1, x2, x3, x4, x5, x7)
U72_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U72_gggggga(x1, x2, x3, x4, x5, x7)
U73_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U73_gggggga(x1, x2, x3, x4, x5, x7)
U74_gggggga(x1, x2, x3, x4, x5, x6, x7)  =  U74_gggggga(x1, x2, x3, x4, x5, x7)
sum193_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum193_out_ggggga(x1, x2, x3, x4, x5, x6)
U182_ggggga(x1, x2, x3, x4, x5, x6)  =  U182_ggggga(x1, x2, x3, x4, x6)
U183_ggggga(x1, x2, x3, x4, x5, x6)  =  U183_ggggga(x1, x2, x3, x4, x6)
U184_ggggga(x1, x2, x3, x4, x5, x6)  =  U184_ggggga(x1, x2, x3, x4, x6)
sum158_out_ggggga(x1, x2, x3, x4, x5, x6)  =  sum158_out_ggggga(x1, x2, x3, x4, x5, x6)
U64_ggggga(x1, x2, x3, x4, x5, x6)  =  U64_ggggga(x1, x2, x3, x4, x6)
U65_ggggga(x1, x2, x3, x4, x5, x6)  =  U65_ggggga(x1, x2, x3, x4, x6)
U66_ggggga(x1, x2, x3, x4, x5, x6)  =  U66_ggggga(x1, x2, x3, x4, x6)
U67_ggggga(x1, x2, x3, x4, x5, x6)  =  U67_ggggga(x1, x2, x3, x4, x6)
U68_ggggga(x1, x2, x3, x4, x5, x6)  =  U68_ggggga(x1, x2, x3, x4, x6)
sum147_out_gggga(x1, x2, x3, x4, x5)  =  sum147_out_gggga(x1, x2, x3, x4, x5)
U179_gggga(x1, x2, x3, x4, x5)  =  U179_gggga(x1, x2, x3, x5)
U180_gggga(x1, x2, x3, x4, x5)  =  U180_gggga(x1, x2, x3, x5)
sum107_out_gggga(x1, x2, x3, x4, x5)  =  sum107_out_gggga(x1, x2, x3, x4, x5)
U56_gggga(x1, x2, x3, x4, x5)  =  U56_gggga(x1, x2, x3, x5)
U57_gggga(x1, x2, x3, x4, x5)  =  U57_gggga(x1, x2, x3, x5)
U58_gggga(x1, x2, x3, x4, x5)  =  U58_gggga(x1, x2, x3, x5)
U59_gggga(x1, x2, x3, x4, x5)  =  U59_gggga(x1, x2, x3, x5)
U60_gggga(x1, x2, x3, x4, x5)  =  U60_gggga(x1, x2, x3, x5)
U61_gggga(x1, x2, x3, x4, x5)  =  U61_gggga(x1, x2, x3, x5)
sum101_out_ggga(x1, x2, x3, x4)  =  sum101_out_ggga(x1, x2, x3, x4)
U171_ggga(x1, x2, x3, x4, x5)  =  U171_ggga(x1, x2, x3, x5)
U172_ggga(x1, x2, x3, x4, x5)  =  U172_ggga(x1, x2, x3, x5)
U173_ggga(x1, x2, x3, x4, x5)  =  U173_ggga(x1, x2, x3, x5)
U174_ggga(x1, x2, x3, x4, x5)  =  U174_ggga(x1, x2, x3, x5)
U175_ggga(x1, x2, x3, x4, x5)  =  U175_ggga(x1, x2, x3, x5)
U176_ggga(x1, x2, x3, x4, x5)  =  U176_ggga(x1, x2, x3, x5)
U177_ggga(x1, x2, x3, x4)  =  U177_ggga(x1, x2, x4)
sum55_out_ggga(x1, x2, x3, x4)  =  sum55_out_ggga(x1, x2, x3, x4)
U5_ggga(x1, x2, x3, x4, x5)  =  U5_ggga(x1, x2, x3, x5)
U6_ggga(x1, x2, x3, x4, x5)  =  U6_ggga(x1, x2, x3, x5)
U7_ggga(x1, x2, x3, x4, x5)  =  U7_ggga(x1, x2, x3, x5)
U8_ggga(x1, x2, x3, x4, x5)  =  U8_ggga(x1, x2, x3, x5)
U9_ggga(x1, x2, x3, x4, x5)  =  U9_ggga(x1, x2, x3, x5)
U10_ggga(x1, x2, x3, x4, x5)  =  U10_ggga(x1, x2, x3, x5)
U11_ggga(x1, x2, x3, x4)  =  U11_ggga(x1, x2, x4)
U12_ggga(x1, x2, x3, x4, x5)  =  U12_ggga(x1, x2, x3, x5)
U13_ggga(x1, x2, x3, x4, x5)  =  U13_ggga(x1, x2, x3, x5)
U14_ggga(x1, x2, x3, x4, x5)  =  U14_ggga(x1, x2, x3, x5)
U15_ggga(x1, x2, x3, x4, x5)  =  U15_ggga(x1, x2, x3, x5)
U16_ggga(x1, x2, x3, x4, x5)  =  U16_ggga(x1, x2, x3, x5)
U17_ggga(x1, x2, x3, x4, x5)  =  U17_ggga(x1, x2, x3, x5)
U18_ggga(x1, x2, x3, x4)  =  U18_ggga(x1, x2, x4)
U19_ggga(x1, x2, x3, x4, x5)  =  U19_ggga(x1, x2, x3, x5)
U20_ggga(x1, x2, x3, x4, x5)  =  U20_ggga(x1, x2, x3, x5)
U21_ggga(x1, x2, x3, x4, x5)  =  U21_ggga(x1, x2, x3, x5)
U22_ggga(x1, x2, x3, x4, x5)  =  U22_ggga(x1, x2, x3, x5)
U23_ggga(x1, x2, x3, x4, x5)  =  U23_ggga(x1, x2, x3, x5)
U24_ggga(x1, x2, x3, x4, x5)  =  U24_ggga(x1, x2, x3, x5)
U25_ggga(x1, x2, x3, x4)  =  U25_ggga(x1, x2, x4)
U26_ggga(x1, x2, x3, x4, x5)  =  U26_ggga(x1, x2, x3, x5)
U27_ggga(x1, x2, x3, x4, x5)  =  U27_ggga(x1, x2, x3, x5)
U28_ggga(x1, x2, x3, x4, x5)  =  U28_ggga(x1, x2, x3, x5)
U29_ggga(x1, x2, x3, x4, x5)  =  U29_ggga(x1, x2, x3, x5)
U30_ggga(x1, x2, x3, x4, x5)  =  U30_ggga(x1, x2, x3, x5)
U31_ggga(x1, x2, x3, x4, x5)  =  U31_ggga(x1, x2, x3, x5)
U32_ggga(x1, x2, x3, x4)  =  U32_ggga(x1, x2, x4)
U33_ggga(x1, x2, x3, x4, x5)  =  U33_ggga(x1, x2, x3, x5)
U34_ggga(x1, x2, x3, x4, x5)  =  U34_ggga(x1, x2, x3, x5)
U35_ggga(x1, x2, x3, x4, x5)  =  U35_ggga(x1, x2, x3, x5)
U36_ggga(x1, x2, x3, x4, x5)  =  U36_ggga(x1, x2, x3, x5)
U37_ggga(x1, x2, x3, x4, x5)  =  U37_ggga(x1, x2, x3, x5)
U38_ggga(x1, x2, x3, x4, x5)  =  U38_ggga(x1, x2, x3, x5)
U39_ggga(x1, x2, x3, x4)  =  U39_ggga(x1, x2, x4)
U40_ggga(x1, x2, x3, x4, x5)  =  U40_ggga(x1, x2, x3, x5)
U41_ggga(x1, x2, x3, x4, x5)  =  U41_ggga(x1, x2, x3, x5)
U42_ggga(x1, x2, x3, x4, x5)  =  U42_ggga(x1, x2, x3, x5)
U43_ggga(x1, x2, x3, x4, x5)  =  U43_ggga(x1, x2, x3, x5)
U44_ggga(x1, x2, x3, x4, x5)  =  U44_ggga(x1, x2, x3, x5)
U45_ggga(x1, x2, x3, x4, x5)  =  U45_ggga(x1, x2, x3, x5)
U46_ggga(x1, x2, x3, x4)  =  U46_ggga(x1, x2, x4)
U47_ggga(x1, x2, x3, x4, x5)  =  U47_ggga(x1, x2, x3, x5)
U48_ggga(x1, x2, x3, x4, x5)  =  U48_ggga(x1, x2, x3, x5)
U49_ggga(x1, x2, x3, x4, x5)  =  U49_ggga(x1, x2, x3, x5)
U50_ggga(x1, x2, x3, x4, x5)  =  U50_ggga(x1, x2, x3, x5)
U51_ggga(x1, x2, x3, x4, x5)  =  U51_ggga(x1, x2, x3, x5)
U52_ggga(x1, x2, x3, x4, x5)  =  U52_ggga(x1, x2, x3, x5)
U53_ggga(x1, x2, x3, x4)  =  U53_ggga(x1, x2, x4)
sum47_out_gggga(x1, x2, x3, x4, x5)  =  sum47_out_gggga(x1, x2, x3, x4, x5)
sum10_out_ggga(x1, x2, x3, x4)  =  sum10_out_ggga(x1, x2, x3, x4)
U204_ggga(x1, x2, x3, x4)  =  U204_ggga(x1, x2, x4)
sum1253_in_gga(x1, x2, x3)  =  sum1253_in_gga(x1, x2)
U93_gga(x1, x2, x3, x4)  =  U93_gga(x1, x2, x4)
sum1253_out_gga(x1, x2, x3)  =  sum1253_out_gga(x1, x2, x3)
U94_gga(x1, x2, x3, x4)  =  U94_gga(x1, x2, x4)
U95_gga(x1, x2, x3, x4)  =  U95_gga(x1, x2, x4)
U96_gga(x1, x2, x3, x4)  =  U96_gga(x1, x2, x4)
U97_gga(x1, x2, x3, x4)  =  U97_gga(x1, x2, x4)
U98_gga(x1, x2, x3, x4)  =  U98_gga(x1, x2, x4)
U99_gga(x1, x2, x3, x4)  =  U99_gga(x1, x2, x4)
U100_gga(x1, x2, x3, x4)  =  U100_gga(x1, x2, x4)
U101_gga(x1, x2, x3)  =  U101_gga(x1, x3)
sum1335_in_gga(x1, x2, x3)  =  sum1335_in_gga(x1, x2)
U91_gga(x1, x2, x3, x4, x5)  =  U91_gga(x1, x2, x3, x5)
sum1335_out_gga(x1, x2, x3)  =  sum1335_out_gga(x1, x2, x3)
U92_gga(x1, x2, x3, x4)  =  U92_gga(x1, x2, x4)
U205_ggga(x1, x2, x3, x4)  =  U205_ggga(x1, x2, x4)
sum1373_in_gga(x1, x2, x3)  =  sum1373_in_gga(x1, x2)
U104_gga(x1, x2, x3, x4)  =  U104_gga(x1, x2, x4)
sum1373_out_gga(x1, x2, x3)  =  sum1373_out_gga(x1, x2, x3)
U105_gga(x1, x2, x3, x4)  =  U105_gga(x1, x2, x4)
U106_gga(x1, x2, x3, x4)  =  U106_gga(x1, x2, x4)
U107_gga(x1, x2, x3, x4)  =  U107_gga(x1, x2, x4)
U108_gga(x1, x2, x3, x4)  =  U108_gga(x1, x2, x4)
U109_gga(x1, x2, x3, x4)  =  U109_gga(x1, x2, x4)
U110_gga(x1, x2, x3, x4)  =  U110_gga(x1, x2, x4)
U111_gga(x1, x2, x3, x4)  =  U111_gga(x1, x2, x4)
U112_gga(x1, x2, x3)  =  U112_gga(x1, x3)
sum1447_in_gga(x1, x2, x3)  =  sum1447_in_gga(x1, x2)
U102_gga(x1, x2, x3, x4, x5)  =  U102_gga(x1, x2, x3, x5)
sum1447_out_gga(x1, x2, x3)  =  sum1447_out_gga(x1, x2, x3)
U103_gga(x1, x2, x3, x4)  =  U103_gga(x1, x2, x4)
U206_ggga(x1, x2, x3, x4)  =  U206_ggga(x1, x2, x4)
sum1485_in_gga(x1, x2, x3)  =  sum1485_in_gga(x1, x2)
U115_gga(x1, x2, x3, x4)  =  U115_gga(x1, x2, x4)
sum1485_out_gga(x1, x2, x3)  =  sum1485_out_gga(x1, x2, x3)
U116_gga(x1, x2, x3, x4)  =  U116_gga(x1, x2, x4)
U117_gga(x1, x2, x3, x4)  =  U117_gga(x1, x2, x4)
U118_gga(x1, x2, x3, x4)  =  U118_gga(x1, x2, x4)
U119_gga(x1, x2, x3, x4)  =  U119_gga(x1, x2, x4)
U120_gga(x1, x2, x3, x4)  =  U120_gga(x1, x2, x4)
U121_gga(x1, x2, x3, x4)  =  U121_gga(x1, x2, x4)
U122_gga(x1, x2, x3, x4)  =  U122_gga(x1, x2, x4)
U123_gga(x1, x2, x3)  =  U123_gga(x1, x3)
sum1559_in_gga(x1, x2, x3)  =  sum1559_in_gga(x1, x2)
U113_gga(x1, x2, x3, x4, x5)  =  U113_gga(x1, x2, x3, x5)
sum1559_out_gga(x1, x2, x3)  =  sum1559_out_gga(x1, x2, x3)
U114_gga(x1, x2, x3, x4)  =  U114_gga(x1, x2, x4)
U207_ggga(x1, x2, x3, x4)  =  U207_ggga(x1, x2, x4)
sum1597_in_gga(x1, x2, x3)  =  sum1597_in_gga(x1, x2)
U126_gga(x1, x2, x3, x4)  =  U126_gga(x1, x2, x4)
sum1597_out_gga(x1, x2, x3)  =  sum1597_out_gga(x1, x2, x3)
U127_gga(x1, x2, x3, x4)  =  U127_gga(x1, x2, x4)
U128_gga(x1, x2, x3, x4)  =  U128_gga(x1, x2, x4)
U129_gga(x1, x2, x3, x4)  =  U129_gga(x1, x2, x4)
U130_gga(x1, x2, x3, x4)  =  U130_gga(x1, x2, x4)
U131_gga(x1, x2, x3, x4)  =  U131_gga(x1, x2, x4)
U132_gga(x1, x2, x3, x4)  =  U132_gga(x1, x2, x4)
U133_gga(x1, x2, x3, x4)  =  U133_gga(x1, x2, x4)
U134_gga(x1, x2, x3)  =  U134_gga(x1, x3)
sum1671_in_gga(x1, x2, x3)  =  sum1671_in_gga(x1, x2)
U124_gga(x1, x2, x3, x4, x5)  =  U124_gga(x1, x2, x3, x5)
sum1671_out_gga(x1, x2, x3)  =  sum1671_out_gga(x1, x2, x3)
U125_gga(x1, x2, x3, x4)  =  U125_gga(x1, x2, x4)
U208_ggga(x1, x2, x3, x4)  =  U208_ggga(x1, x2, x4)
sum1709_in_gga(x1, x2, x3)  =  sum1709_in_gga(x1, x2)
U137_gga(x1, x2, x3, x4)  =  U137_gga(x1, x2, x4)
sum1709_out_gga(x1, x2, x3)  =  sum1709_out_gga(x1, x2, x3)
U138_gga(x1, x2, x3, x4)  =  U138_gga(x1, x2, x4)
U139_gga(x1, x2, x3, x4)  =  U139_gga(x1, x2, x4)
U140_gga(x1, x2, x3, x4)  =  U140_gga(x1, x2, x4)
U141_gga(x1, x2, x3, x4)  =  U141_gga(x1, x2, x4)
U142_gga(x1, x2, x3, x4)  =  U142_gga(x1, x2, x4)
U143_gga(x1, x2, x3, x4)  =  U143_gga(x1, x2, x4)
U144_gga(x1, x2, x3, x4)  =  U144_gga(x1, x2, x4)
U145_gga(x1, x2, x3)  =  U145_gga(x1, x3)
sum1783_in_gga(x1, x2, x3)  =  sum1783_in_gga(x1, x2)
U135_gga(x1, x2, x3, x4, x5)  =  U135_gga(x1, x2, x3, x5)
sum1783_out_gga(x1, x2, x3)  =  sum1783_out_gga(x1, x2, x3)
U136_gga(x1, x2, x3, x4)  =  U136_gga(x1, x2, x4)
U209_ggga(x1, x2, x3, x4)  =  U209_ggga(x1, x2, x4)
sum1821_in_gga(x1, x2, x3)  =  sum1821_in_gga(x1, x2)
U148_gga(x1, x2, x3, x4)  =  U148_gga(x1, x2, x4)
sum1821_out_gga(x1, x2, x3)  =  sum1821_out_gga(x1, x2, x3)
U149_gga(x1, x2, x3, x4)  =  U149_gga(x1, x2, x4)
U150_gga(x1, x2, x3, x4)  =  U150_gga(x1, x2, x4)
U151_gga(x1, x2, x3, x4)  =  U151_gga(x1, x2, x4)
U152_gga(x1, x2, x3, x4)  =  U152_gga(x1, x2, x4)
U153_gga(x1, x2, x3, x4)  =  U153_gga(x1, x2, x4)
U154_gga(x1, x2, x3, x4)  =  U154_gga(x1, x2, x4)
U155_gga(x1, x2, x3, x4)  =  U155_gga(x1, x2, x4)
U156_gga(x1, x2, x3)  =  U156_gga(x1, x3)
sum1895_in_gga(x1, x2, x3)  =  sum1895_in_gga(x1, x2)
U146_gga(x1, x2, x3, x4, x5)  =  U146_gga(x1, x2, x3, x5)
sum1895_out_gga(x1, x2, x3)  =  sum1895_out_gga(x1, x2, x3)
U147_gga(x1, x2, x3, x4)  =  U147_gga(x1, x2, x4)
U210_ggga(x1, x2, x3, x4)  =  U210_ggga(x1, x2, x4)
sum1933_in_gga(x1, x2, x3)  =  sum1933_in_gga(x1, x2)
U159_gga(x1, x2, x3, x4)  =  U159_gga(x1, x2, x4)
sum1933_out_gga(x1, x2, x3)  =  sum1933_out_gga(x1, x2, x3)
U160_gga(x1, x2, x3, x4)  =  U160_gga(x1, x2, x4)
U161_gga(x1, x2, x3, x4)  =  U161_gga(x1, x2, x4)
U162_gga(x1, x2, x3, x4)  =  U162_gga(x1, x2, x4)
U163_gga(x1, x2, x3, x4)  =  U163_gga(x1, x2, x4)
U164_gga(x1, x2, x3, x4)  =  U164_gga(x1, x2, x4)
U165_gga(x1, x2, x3, x4)  =  U165_gga(x1, x2, x4)
U166_gga(x1, x2, x3, x4)  =  U166_gga(x1, x2, x4)
U167_gga(x1, x2, x3)  =  U167_gga(x1, x3)
sum2007_in_gga(x1, x2, x3)  =  sum2007_in_gga(x1, x2)
U157_gga(x1, x2, x3, x4, x5)  =  U157_gga(x1, x2, x3, x5)
sum2007_out_gga(x1, x2, x3)  =  sum2007_out_gga(x1, x2, x3)
U158_gga(x1, x2, x3, x4)  =  U158_gga(x1, x2, x4)
sum2047_in_gga(x1, x2, x3)  =  sum2047_in_gga(x1, x2)
U211_gga(x1, x2, x3, x4)  =  U211_gga(x1, x2, x4)
sum2047_out_gga(x1, x2, x3)  =  sum2047_out_gga(x1, x2, x3)
U212_gga(x1, x2, x3, x4)  =  U212_gga(x1, x2, x4)
U213_gga(x1, x2, x3, x4)  =  U213_gga(x1, x2, x4)
U214_gga(x1, x2, x3, x4)  =  U214_gga(x1, x2, x4)
U215_gga(x1, x2, x3, x4)  =  U215_gga(x1, x2, x4)
U216_gga(x1, x2, x3, x4)  =  U216_gga(x1, x2, x4)
U217_gga(x1, x2, x3, x4)  =  U217_gga(x1, x2, x4)
U218_gga(x1, x2, x3, x4)  =  U218_gga(x1, x2, x4)
U219_gga(x1, x2, x3)  =  U219_gga(x1, x3)
sum2121_in_gga(x1, x2, x3)  =  sum2121_in_gga(x1, x2)
U168_gga(x1, x2, x3, x4, x5)  =  U168_gga(x1, x2, x3, x5)
sum2121_out_gga(x1, x2, x3)  =  sum2121_out_gga(x1, x2, x3)
U169_gga(x1, x2, x3, x4)  =  U169_gga(x1, x2, x4)
WEIGHT1_IN_GA(x1, x2)  =  WEIGHT1_IN_GA(x1)
U221_GA(x1, x2, x3, x4, x5)  =  U221_GA(x1, x2, x3, x5)
U224_GA(x1, x2, x3, x4)  =  U224_GA(x1, x2, x4)

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

(261) PiDPToQDPProof (SOUND transformation)

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

(262) Obligation:

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

WEIGHT1_IN_GA(.(s(T24), .(T25, T26))) → U221_GA(T24, T25, T26, sum10_in_ggga(T24, T25, T26))
U221_GA(T24, T25, T26, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30)
WEIGHT1_IN_GA(.(0, .(T7105, T7106))) → U224_GA(T7105, T7106, sum2047_in_gga(T7105, T7106))
U224_GA(T7105, T7106, sum2047_out_gga(T7105, T7106, T7109)) → WEIGHT1_IN_GA(T7109)

The TRS R consists of the following rules:

sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156) → U203_ggga(T154, T155, T156, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0)))))))))
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654) → U204_ggga(T5653, T5654, sum1253_in_gga(T5653, T5654))
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890) → U205_ggga(T5889, T5890, sum1373_in_gga(T5889, T5890))
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092) → U206_ggga(T6091, T6092, sum1485_in_gga(T6091, T6092))
sum10_in_ggga(s(s(s(0))), T6293, T6294) → U207_ggga(T6293, T6294, sum1597_in_gga(T6293, T6294))
sum10_in_ggga(s(s(0)), T6495, T6496) → U208_ggga(T6495, T6496, sum1709_in_gga(T6495, T6496))
sum10_in_ggga(s(0), T6697, T6698) → U209_ggga(T6697, T6698, sum1821_in_gga(T6697, T6698))
sum10_in_ggga(0, T6899, T6900) → U210_ggga(T6899, T6900, sum1933_in_gga(T6899, T6900))
sum2047_in_gga(s(T7120), T7121) → U211_gga(T7120, T7121, sum1933_in_gga(T7120, T7121))
sum2047_in_gga(0, .(s(T7139), T7140)) → U212_gga(T7139, T7140, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140)))
sum2047_in_gga(0, .(0, .(s(T7158), T7159))) → U213_gga(T7158, T7159, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159))))
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178)))) → U214_gga(T7177, T7178, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178)))))
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197))))) → U215_gga(T7196, T7197, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216)))))) → U216_gga(T7215, T7216, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216)))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235))))))) → U217_gga(T7234, T7235, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254)))))))) → U218_gga(T7253, T7254, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254)))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261)))))))) → U219_gga(T7261, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261)))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, []))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, [])) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, []) → sum2047_out_gga(0, [], .(0, []))
U203_ggga(T154, T155, T156, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
U204_ggga(T5653, T5654, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
U205_ggga(T5889, T5890, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
U206_ggga(T6091, T6092, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
U207_ggga(T6293, T6294, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
U208_ggga(T6495, T6496, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
U209_ggga(T6697, T6698, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
U210_ggga(T6899, T6900, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U211_gga(T7120, T7121, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
U212_gga(T7139, T7140, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
U213_gga(T7158, T7159, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
U214_gga(T7177, T7178, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
U215_gga(T7196, T7197, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
U216_gga(T7215, T7216, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
U217_gga(T7234, T7235, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
U218_gga(T7253, T7254, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
U219_gga(T7261, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum47_in_gggga(s(T181), T182, T183, T184) → U1_gggga(T181, T182, T183, T184, sum47_in_gggga(T181, T182, T183, s(T184)))
sum47_in_gggga(0, T201, T202, T203) → U2_gggga(T201, T202, T203, sum55_in_ggga(T201, T202, T203))
sum1253_in_gga(s(T5665), T5666) → U93_gga(T5665, T5666, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0)))))))))
sum1253_in_gga(0, .(s(T5688), T5689)) → U94_gga(T5688, T5689, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689)))
sum1253_in_gga(0, .(0, .(s(T5711), T5712))) → U95_gga(T5711, T5712, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712))))
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735)))) → U96_gga(T5734, T5735, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735)))))
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758))))) → U97_gga(T5757, T5758, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))) → U98_gga(T5780, T5781, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))) → U99_gga(T5803, T5804, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))) → U100_gga(T5826, T5827, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))) → U101_gga(T5840, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, []))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, [])) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, []) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
sum1373_in_gga(s(T5901), T5902) → U104_gga(T5901, T5902, sum1253_in_gga(T5901, T5902))
sum1373_in_gga(0, .(s(T5920), T5921)) → U105_gga(T5920, T5921, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921)))
sum1373_in_gga(0, .(0, .(s(T5939), T5940))) → U106_gga(T5939, T5940, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940))))
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959)))) → U107_gga(T5958, T5959, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959)))))
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978))))) → U108_gga(T5977, T5978, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))) → U109_gga(T5996, T5997, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))) → U110_gga(T6015, T6016, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))) → U111_gga(T6034, T6035, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))) → U112_gga(T6042, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, []))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, [])) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, []) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
sum1485_in_gga(s(T6103), T6104) → U115_gga(T6103, T6104, sum1373_in_gga(T6103, T6104))
sum1485_in_gga(0, .(s(T6122), T6123)) → U116_gga(T6122, T6123, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123)))
sum1485_in_gga(0, .(0, .(s(T6141), T6142))) → U117_gga(T6141, T6142, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142))))
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161)))) → U118_gga(T6160, T6161, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161)))))
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180))))) → U119_gga(T6179, T6180, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))) → U120_gga(T6198, T6199, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))) → U121_gga(T6217, T6218, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))) → U122_gga(T6236, T6237, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))) → U123_gga(T6244, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, []))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, [])) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, []) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
sum1597_in_gga(s(T6305), T6306) → U126_gga(T6305, T6306, sum1485_in_gga(T6305, T6306))
sum1597_in_gga(0, .(s(T6324), T6325)) → U127_gga(T6324, T6325, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325)))
sum1597_in_gga(0, .(0, .(s(T6343), T6344))) → U128_gga(T6343, T6344, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344))))
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363)))) → U129_gga(T6362, T6363, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363)))))
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382))))) → U130_gga(T6381, T6382, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))) → U131_gga(T6400, T6401, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))) → U132_gga(T6419, T6420, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))) → U133_gga(T6438, T6439, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))) → U134_gga(T6446, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, []))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, [])) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, []) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
sum1709_in_gga(s(T6507), T6508) → U137_gga(T6507, T6508, sum1597_in_gga(T6507, T6508))
sum1709_in_gga(0, .(s(T6526), T6527)) → U138_gga(T6526, T6527, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527)))
sum1709_in_gga(0, .(0, .(s(T6545), T6546))) → U139_gga(T6545, T6546, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546))))
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565)))) → U140_gga(T6564, T6565, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565)))))
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584))))) → U141_gga(T6583, T6584, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))) → U142_gga(T6602, T6603, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))) → U143_gga(T6621, T6622, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))) → U144_gga(T6640, T6641, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))) → U145_gga(T6648, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, []))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, [])) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, []) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
sum1821_in_gga(s(T6709), T6710) → U148_gga(T6709, T6710, sum1709_in_gga(T6709, T6710))
sum1821_in_gga(0, .(s(T6728), T6729)) → U149_gga(T6728, T6729, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729)))
sum1821_in_gga(0, .(0, .(s(T6747), T6748))) → U150_gga(T6747, T6748, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748))))
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767)))) → U151_gga(T6766, T6767, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767)))))
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786))))) → U152_gga(T6785, T6786, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))) → U153_gga(T6804, T6805, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))) → U154_gga(T6823, T6824, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))) → U155_gga(T6842, T6843, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))) → U156_gga(T6850, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, []))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, [])) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, []) → sum1821_out_gga(0, [], .(s(s(0)), []))
sum1933_in_gga(s(T6911), T6912) → U159_gga(T6911, T6912, sum1821_in_gga(T6911, T6912))
sum1933_in_gga(0, .(s(T6930), T6931)) → U160_gga(T6930, T6931, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931)))
sum1933_in_gga(0, .(0, .(s(T6949), T6950))) → U161_gga(T6949, T6950, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950))))
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969)))) → U162_gga(T6968, T6969, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969)))))
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988))))) → U163_gga(T6987, T6988, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))) → U164_gga(T7006, T7007, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))) → U165_gga(T7025, T7026, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))) → U166_gga(T7044, T7045, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))) → U167_gga(T7052, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, []))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, [])) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, []) → sum1933_out_gga(0, [], .(s(0), []))
sum2007_in_gga(.(s(T7071), T7072), T7073) → U157_gga(T7071, T7072, T7073, sum1895_in_gga(.(T7071, T7072), T7073))
sum2007_in_gga(.(0, T7085), T7086) → U158_gga(T7085, T7086, sum2007_in_gga(T7085, T7086))
sum2121_in_gga(.(s(T7280), T7281), T7282) → U168_gga(T7280, T7281, T7282, sum2007_in_gga(.(T7280, T7281), T7282))
sum2121_in_gga(.(0, T7294), T7295) → U169_gga(T7294, T7295, sum2121_in_gga(T7294, T7295))
sum2121_in_gga([], T7301) → sum2121_out_gga([], T7301, .(0, T7301))
U1_gggga(T181, T182, T183, T184, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U2_gggga(T201, T202, T203, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U93_gga(T5665, T5666, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
U94_gga(T5688, T5689, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
U95_gga(T5711, T5712, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
U96_gga(T5734, T5735, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
U97_gga(T5757, T5758, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
U98_gga(T5780, T5781, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
U99_gga(T5803, T5804, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
U100_gga(T5826, T5827, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
U101_gga(T5840, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
U104_gga(T5901, T5902, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
U105_gga(T5920, T5921, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
U106_gga(T5939, T5940, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
U107_gga(T5958, T5959, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
U108_gga(T5977, T5978, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
U109_gga(T5996, T5997, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
U110_gga(T6015, T6016, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
U111_gga(T6034, T6035, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
U112_gga(T6042, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
U115_gga(T6103, T6104, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
U116_gga(T6122, T6123, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
U117_gga(T6141, T6142, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
U118_gga(T6160, T6161, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
U119_gga(T6179, T6180, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
U120_gga(T6198, T6199, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
U121_gga(T6217, T6218, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
U122_gga(T6236, T6237, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
U123_gga(T6244, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
U126_gga(T6305, T6306, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
U127_gga(T6324, T6325, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
U128_gga(T6343, T6344, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
U129_gga(T6362, T6363, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
U130_gga(T6381, T6382, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
U131_gga(T6400, T6401, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
U132_gga(T6419, T6420, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
U133_gga(T6438, T6439, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
U134_gga(T6446, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
U137_gga(T6507, T6508, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
U138_gga(T6526, T6527, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
U139_gga(T6545, T6546, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
U140_gga(T6564, T6565, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
U141_gga(T6583, T6584, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
U142_gga(T6602, T6603, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
U143_gga(T6621, T6622, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
U144_gga(T6640, T6641, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
U145_gga(T6648, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
U148_gga(T6709, T6710, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
U149_gga(T6728, T6729, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
U150_gga(T6747, T6748, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
U151_gga(T6766, T6767, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
U152_gga(T6785, T6786, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
U153_gga(T6804, T6805, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
U154_gga(T6823, T6824, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
U155_gga(T6842, T6843, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
U156_gga(T6850, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
U159_gga(T6911, T6912, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
U160_gga(T6930, T6931, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
U161_gga(T6949, T6950, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
U162_gga(T6968, T6969, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
U163_gga(T6987, T6988, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
U164_gga(T7006, T7007, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
U165_gga(T7025, T7026, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
U166_gga(T7044, T7045, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
U167_gga(T7052, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
U157_gga(T7071, T7072, T7073, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
U158_gga(T7085, T7086, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U168_gga(T7280, T7281, T7282, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
U169_gga(T7294, T7295, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
sum55_in_ggga(s(T219), T220, T221) → U3_ggga(T219, T220, T221, sum55_in_ggga(T219, T220, s(T221)))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360) → U4_ggga(T358, T359, T360, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115) → U5_ggga(T4113, T4114, T4115, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146) → U6_ggga(T4144, T4145, T4146, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145)))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177) → U7_ggga(T4175, T4176, T4177, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208) → U8_ggga(T4206, T4207, T4208, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207)))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239) → U9_ggga(T4237, T4238, T4239, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270) → U10_ggga(T4268, T4269, T4270, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283) → U11_ggga(T4282, T4283, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337) → U12_ggga(T4335, T4336, T4337, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368) → U13_ggga(T4366, T4367, T4368, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367)))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399) → U14_ggga(T4397, T4398, T4399, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430) → U15_ggga(T4428, T4429, T4430, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429)))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461) → U16_ggga(T4459, T4460, T4461, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492) → U17_ggga(T4490, T4491, T4492, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505) → U18_ggga(T4504, T4505, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559) → U19_ggga(T4557, T4558, T4559, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590) → U20_ggga(T4588, T4589, T4590, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589)))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621) → U21_ggga(T4619, T4620, T4621, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652) → U22_ggga(T4650, T4651, T4652, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651)))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683) → U23_ggga(T4681, T4682, T4683, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714) → U24_ggga(T4712, T4713, T4714, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727) → U25_ggga(T4726, T4727, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781) → U26_ggga(T4779, T4780, T4781, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812) → U27_ggga(T4810, T4811, T4812, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811)))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843) → U28_ggga(T4841, T4842, T4843, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874) → U29_ggga(T4872, T4873, T4874, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873)))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905) → U30_ggga(T4903, T4904, T4905, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936) → U31_ggga(T4934, T4935, T4936, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949) → U32_ggga(T4948, T4949, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003) → U33_ggga(T5001, T5002, T5003, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034) → U34_ggga(T5032, T5033, T5034, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033)))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065) → U35_ggga(T5063, T5064, T5065, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096) → U36_ggga(T5094, T5095, T5096, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095)))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127) → U37_ggga(T5125, T5126, T5127, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158) → U38_ggga(T5156, T5157, T5158, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171) → U39_ggga(T5170, T5171, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225) → U40_ggga(T5223, T5224, T5225, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224))))
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256) → U41_ggga(T5254, T5255, T5256, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255)))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287) → U42_ggga(T5285, T5286, T5287, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318) → U43_ggga(T5316, T5317, T5318, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317)))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349) → U44_ggga(T5347, T5348, T5349, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380) → U45_ggga(T5378, T5379, T5380, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393) → U46_ggga(T5392, T5393, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447) → U47_ggga(T5445, T5446, T5447, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446))))
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478) → U48_ggga(T5476, T5477, T5478, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477)))))
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509) → U49_ggga(T5507, T5508, T5509, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540) → U50_ggga(T5538, T5539, T5540, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539)))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571) → U51_ggga(T5569, T5570, T5571, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602) → U52_ggga(T5600, T5601, T5602, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615) → U53_ggga(T5614, T5615, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466) → U89_ggga(T2463, T2464, T2465, T2466, sum377_in_gggga(T2463, T2464, s(T2465), T2466))
sum385_in_ggga(.(0, T2483), T2484, T2485) → U90_ggga(T2483, T2484, T2485, sum385_in_ggga(T2483, T2484, T2485))
sum1335_in_gga(.(s(T5859), T5860), T5861) → U91_gga(T5859, T5860, T5861, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861))
sum1335_in_gga(.(0, T5873), T5874) → U92_gga(T5873, T5874, sum1335_in_gga(T5873, T5874))
sum1335_in_gga([], T5880) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
sum1447_in_gga(.(s(T6061), T6062), T6063) → U102_gga(T6061, T6062, T6063, sum1335_in_gga(.(T6061, T6062), T6063))
sum1447_in_gga(.(0, T6075), T6076) → U103_gga(T6075, T6076, sum1447_in_gga(T6075, T6076))
sum1447_in_gga([], T6082) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
sum1559_in_gga(.(s(T6263), T6264), T6265) → U113_gga(T6263, T6264, T6265, sum1447_in_gga(.(T6263, T6264), T6265))
sum1559_in_gga(.(0, T6277), T6278) → U114_gga(T6277, T6278, sum1559_in_gga(T6277, T6278))
sum1559_in_gga([], T6284) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
sum1671_in_gga(.(s(T6465), T6466), T6467) → U124_gga(T6465, T6466, T6467, sum1559_in_gga(.(T6465, T6466), T6467))
sum1671_in_gga(.(0, T6479), T6480) → U125_gga(T6479, T6480, sum1671_in_gga(T6479, T6480))
sum1671_in_gga([], T6486) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
sum1783_in_gga(.(s(T6667), T6668), T6669) → U135_gga(T6667, T6668, T6669, sum1671_in_gga(.(T6667, T6668), T6669))
sum1783_in_gga(.(0, T6681), T6682) → U136_gga(T6681, T6682, sum1783_in_gga(T6681, T6682))
sum1783_in_gga([], T6688) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
sum1895_in_gga(.(s(T6869), T6870), T6871) → U146_gga(T6869, T6870, T6871, sum1783_in_gga(.(T6869, T6870), T6871))
sum1895_in_gga(.(0, T6883), T6884) → U147_gga(T6883, T6884, sum1895_in_gga(T6883, T6884))
sum1895_in_gga([], T6890) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
sum2007_in_gga([], T7092) → sum2007_out_gga([], T7092, .(s(0), T7092))
U3_ggga(T219, T220, T221, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U4_ggga(T358, T359, T360, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
U5_ggga(T4113, T4114, T4115, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
U6_ggga(T4144, T4145, T4146, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
U7_ggga(T4175, T4176, T4177, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
U8_ggga(T4206, T4207, T4208, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
U9_ggga(T4237, T4238, T4239, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
U10_ggga(T4268, T4269, T4270, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
U11_ggga(T4282, T4283, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
U12_ggga(T4335, T4336, T4337, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
U13_ggga(T4366, T4367, T4368, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
U14_ggga(T4397, T4398, T4399, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
U15_ggga(T4428, T4429, T4430, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
U16_ggga(T4459, T4460, T4461, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
U17_ggga(T4490, T4491, T4492, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
U18_ggga(T4504, T4505, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
U19_ggga(T4557, T4558, T4559, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
U20_ggga(T4588, T4589, T4590, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
U21_ggga(T4619, T4620, T4621, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
U22_ggga(T4650, T4651, T4652, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
U23_ggga(T4681, T4682, T4683, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
U24_ggga(T4712, T4713, T4714, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
U25_ggga(T4726, T4727, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
U26_ggga(T4779, T4780, T4781, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
U27_ggga(T4810, T4811, T4812, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
U28_ggga(T4841, T4842, T4843, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
U29_ggga(T4872, T4873, T4874, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
U30_ggga(T4903, T4904, T4905, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
U31_ggga(T4934, T4935, T4936, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
U32_ggga(T4948, T4949, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
U33_ggga(T5001, T5002, T5003, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
U34_ggga(T5032, T5033, T5034, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
U35_ggga(T5063, T5064, T5065, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
U36_ggga(T5094, T5095, T5096, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
U37_ggga(T5125, T5126, T5127, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
U38_ggga(T5156, T5157, T5158, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
U39_ggga(T5170, T5171, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
U40_ggga(T5223, T5224, T5225, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
U41_ggga(T5254, T5255, T5256, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
U42_ggga(T5285, T5286, T5287, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
U43_ggga(T5316, T5317, T5318, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
U44_ggga(T5347, T5348, T5349, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
U45_ggga(T5378, T5379, T5380, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
U46_ggga(T5392, T5393, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
U47_ggga(T5445, T5446, T5447, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
U48_ggga(T5476, T5477, T5478, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
U49_ggga(T5507, T5508, T5509, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
U50_ggga(T5538, T5539, T5540, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
U51_ggga(T5569, T5570, T5571, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
U52_ggga(T5600, T5601, T5602, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
U53_ggga(T5614, T5615, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
U89_ggga(T2463, T2464, T2465, T2466, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
U90_ggga(T2483, T2484, T2485, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U91_gga(T5859, T5860, T5861, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
U92_gga(T5873, T5874, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U102_gga(T6061, T6062, T6063, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
U103_gga(T6075, T6076, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U113_gga(T6263, T6264, T6265, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
U114_gga(T6277, T6278, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U124_gga(T6465, T6466, T6467, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
U125_gga(T6479, T6480, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U135_gga(T6667, T6668, T6669, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
U136_gga(T6681, T6682, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U146_gga(T6869, T6870, T6871, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
U147_gga(T6883, T6884, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
sum101_in_ggga(s(T380), T381, T382) → U170_ggga(T380, T381, T382, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380)))))))))
sum101_in_ggga(0, .(s(T3891), T3892), T3893) → U171_ggga(T3891, T3892, T3893, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892))))
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924) → U172_ggga(T3922, T3923, T3924, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923)))))
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955) → U173_ggga(T3953, T3954, T3955, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986) → U174_ggga(T3984, T3985, T3986, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985)))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017) → U175_ggga(T4015, T4016, T4017, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048) → U176_ggga(T4046, T4047, T4048, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061) → U177_ggga(T4060, T4061, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
sum385_in_ggga([], T2494, T2495) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
sum377_in_gggga(s(T2420), T2421, T2422, T2423) → U87_gggga(T2420, T2421, T2422, T2423, sum377_in_gggga(T2420, T2421, s(T2422), T2423))
sum377_in_gggga(0, T2440, T2441, T2442) → U88_gggga(T2440, T2441, T2442, sum385_in_ggga(T2440, T2441, T2442))
U170_ggga(T380, T381, T382, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
U171_ggga(T3891, T3892, T3893, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
U172_ggga(T3922, T3923, T3924, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
U173_ggga(T3953, T3954, T3955, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
U174_ggga(T3984, T3985, T3986, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
U175_ggga(T4015, T4016, T4017, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
U176_ggga(T4046, T4047, T4048, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
U177_ggga(T4060, T4061, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
U87_gggga(T2420, T2421, T2422, T2423, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U88_gggga(T2440, T2441, T2442, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
sum107_in_gggga(s(T407), T408, T409, T410) → U54_gggga(T407, T408, T409, T410, sum107_in_gggga(T407, T408, s(T409), T410))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573) → U55_gggga(T570, T571, T572, T573, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573))
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760) → U56_gggga(T3758, T3759, T3760, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758))))
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779) → U57_gggga(T3777, T3778, T3779, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777))))
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798) → U58_gggga(T3796, T3797, T3798, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796))))
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817) → U59_gggga(T3815, T3816, T3817, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815))))
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836) → U60_gggga(T3834, T3835, T3836, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834))))
sum107_in_gggga(0, .(0, T3853), T3854, T3855) → U61_gggga(T3853, T3854, T3855, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853))))
sum107_in_gggga(0, [], T3864, T3865) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U55_gggga(T570, T571, T572, T573, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
U56_gggga(T3758, T3759, T3760, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
U57_gggga(T3777, T3778, T3779, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
U58_gggga(T3796, T3797, T3798, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
U59_gggga(T3815, T3816, T3817, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
U60_gggga(T3834, T3835, T3836, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
U61_gggga(T3853, T3854, T3855, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum147_in_gggga(s(s(T623)), T624, T625, T626) → U178_gggga(T623, T624, T625, T626, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623)))))))))
sum147_in_gggga(s(0), T3720, T3721, T3722) → U179_gggga(T3720, T3721, T3722, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720))))
sum147_in_gggga(0, T3739, T3740, T3741) → U180_gggga(T3739, T3740, T3741, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739))))
U178_gggga(T623, T624, T625, T626, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
U179_gggga(T3720, T3721, T3722, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
U180_gggga(T3739, T3740, T3741, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
sum158_in_ggggga(s(T657), T658, T659, T660, T661) → U62_ggggga(T657, T658, T659, T660, T661, sum158_in_ggggga(T657, T658, s(T659), T660, T661))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836) → U63_ggggga(T832, T833, T834, T835, T836, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836))
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593) → U64_ggggga(T3590, T3591, T3592, T3593, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590)))))
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618) → U65_ggggga(T3615, T3616, T3617, T3618, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615)))))
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643) → U66_ggggga(T3640, T3641, T3642, T3643, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640)))))
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668) → U67_ggggga(T3665, T3666, T3667, T3668, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665)))))
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693) → U68_ggggga(T3690, T3691, T3692, T3693, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690)))))
sum158_in_ggggga(0, [], T3705, T3706, T3707) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U63_ggggga(T832, T833, T834, T835, T836, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
U64_ggggga(T3590, T3591, T3592, T3593, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
U65_ggggga(T3615, T3616, T3617, T3618, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
U66_ggggga(T3640, T3641, T3642, T3643, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
U67_ggggga(T3665, T3666, T3667, T3668, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
U68_ggggga(T3690, T3691, T3692, T3693, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932) → U181_ggggga(T928, T929, T930, T931, T932, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928)))))))))
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518) → U182_ggggga(T3515, T3516, T3517, T3518, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515)))))
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543) → U183_ggggga(T3540, T3541, T3542, T3543, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540)))))
sum193_in_ggggga(0, T3565, T3566, T3567, T3568) → U184_ggggga(T3565, T3566, T3567, T3568, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565)))))
U181_ggggga(T928, T929, T930, T931, T932, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
U182_ggggga(T3515, T3516, T3517, T3518, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
U183_ggggga(T3540, T3541, T3542, T3543, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
U184_ggggga(T3565, T3566, T3567, T3568, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974) → U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149))
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383))))))
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414))))))
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445))))))
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476))))))
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295)))))))))
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259))))))
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290))))))
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321))))))
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352))))))
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512))
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137)))))))
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174)))))))
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211)))))))
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724)))))))))
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952)))))))
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989)))))))
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026)))))))
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063)))))))
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100)))))))
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925))
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852))))))))
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895))))))))
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215)))))))))
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594))))))))
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637))))))))
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680))))))))
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723))))))))
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766))))))))
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809))))))))
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381)))))))))
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528)))))))))
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)

The set Q consists of the following terms:

sum10_in_ggga(x0, x1, x2)
sum2047_in_gga(x0, x1)
U203_ggga(x0, x1, x2, x3)
U204_ggga(x0, x1, x2)
U205_ggga(x0, x1, x2)
U206_ggga(x0, x1, x2)
U207_ggga(x0, x1, x2)
U208_ggga(x0, x1, x2)
U209_ggga(x0, x1, x2)
U210_ggga(x0, x1, x2)
U211_gga(x0, x1, x2)
U212_gga(x0, x1, x2)
U213_gga(x0, x1, x2)
U214_gga(x0, x1, x2)
U215_gga(x0, x1, x2)
U216_gga(x0, x1, x2)
U217_gga(x0, x1, x2)
U218_gga(x0, x1, x2)
U219_gga(x0, x1)
sum47_in_gggga(x0, x1, x2, x3)
sum1253_in_gga(x0, x1)
sum1373_in_gga(x0, x1)
sum1485_in_gga(x0, x1)
sum1597_in_gga(x0, x1)
sum1709_in_gga(x0, x1)
sum1821_in_gga(x0, x1)
sum1933_in_gga(x0, x1)
sum2007_in_gga(x0, x1)
sum2121_in_gga(x0, x1)
U1_gggga(x0, x1, x2, x3, x4)
U2_gggga(x0, x1, x2, x3)
U93_gga(x0, x1, x2)
U94_gga(x0, x1, x2)
U95_gga(x0, x1, x2)
U96_gga(x0, x1, x2)
U97_gga(x0, x1, x2)
U98_gga(x0, x1, x2)
U99_gga(x0, x1, x2)
U100_gga(x0, x1, x2)
U101_gga(x0, x1)
U104_gga(x0, x1, x2)
U105_gga(x0, x1, x2)
U106_gga(x0, x1, x2)
U107_gga(x0, x1, x2)
U108_gga(x0, x1, x2)
U109_gga(x0, x1, x2)
U110_gga(x0, x1, x2)
U111_gga(x0, x1, x2)
U112_gga(x0, x1)
U115_gga(x0, x1, x2)
U116_gga(x0, x1, x2)
U117_gga(x0, x1, x2)
U118_gga(x0, x1, x2)
U119_gga(x0, x1, x2)
U120_gga(x0, x1, x2)
U121_gga(x0, x1, x2)
U122_gga(x0, x1, x2)
U123_gga(x0, x1)
U126_gga(x0, x1, x2)
U127_gga(x0, x1, x2)
U128_gga(x0, x1, x2)
U129_gga(x0, x1, x2)
U130_gga(x0, x1, x2)
U131_gga(x0, x1, x2)
U132_gga(x0, x1, x2)
U133_gga(x0, x1, x2)
U134_gga(x0, x1)
U137_gga(x0, x1, x2)
U138_gga(x0, x1, x2)
U139_gga(x0, x1, x2)
U140_gga(x0, x1, x2)
U141_gga(x0, x1, x2)
U142_gga(x0, x1, x2)
U143_gga(x0, x1, x2)
U144_gga(x0, x1, x2)
U145_gga(x0, x1)
U148_gga(x0, x1, x2)
U149_gga(x0, x1, x2)
U150_gga(x0, x1, x2)
U151_gga(x0, x1, x2)
U152_gga(x0, x1, x2)
U153_gga(x0, x1, x2)
U154_gga(x0, x1, x2)
U155_gga(x0, x1, x2)
U156_gga(x0, x1)
U159_gga(x0, x1, x2)
U160_gga(x0, x1, x2)
U161_gga(x0, x1, x2)
U162_gga(x0, x1, x2)
U163_gga(x0, x1, x2)
U164_gga(x0, x1, x2)
U165_gga(x0, x1, x2)
U166_gga(x0, x1, x2)
U167_gga(x0, x1)
U157_gga(x0, x1, x2, x3)
U158_gga(x0, x1, x2)
U168_gga(x0, x1, x2, x3)
U169_gga(x0, x1, x2)
sum55_in_ggga(x0, x1, x2)
sum385_in_ggga(x0, x1, x2)
sum1335_in_gga(x0, x1)
sum1447_in_gga(x0, x1)
sum1559_in_gga(x0, x1)
sum1671_in_gga(x0, x1)
sum1783_in_gga(x0, x1)
sum1895_in_gga(x0, x1)
U3_ggga(x0, x1, x2, x3)
U4_ggga(x0, x1, x2, x3)
U5_ggga(x0, x1, x2, x3)
U6_ggga(x0, x1, x2, x3)
U7_ggga(x0, x1, x2, x3)
U8_ggga(x0, x1, x2, x3)
U9_ggga(x0, x1, x2, x3)
U10_ggga(x0, x1, x2, x3)
U11_ggga(x0, x1, x2)
U12_ggga(x0, x1, x2, x3)
U13_ggga(x0, x1, x2, x3)
U14_ggga(x0, x1, x2, x3)
U15_ggga(x0, x1, x2, x3)
U16_ggga(x0, x1, x2, x3)
U17_ggga(x0, x1, x2, x3)
U18_ggga(x0, x1, x2)
U19_ggga(x0, x1, x2, x3)
U20_ggga(x0, x1, x2, x3)
U21_ggga(x0, x1, x2, x3)
U22_ggga(x0, x1, x2, x3)
U23_ggga(x0, x1, x2, x3)
U24_ggga(x0, x1, x2, x3)
U25_ggga(x0, x1, x2)
U26_ggga(x0, x1, x2, x3)
U27_ggga(x0, x1, x2, x3)
U28_ggga(x0, x1, x2, x3)
U29_ggga(x0, x1, x2, x3)
U30_ggga(x0, x1, x2, x3)
U31_ggga(x0, x1, x2, x3)
U32_ggga(x0, x1, x2)
U33_ggga(x0, x1, x2, x3)
U34_ggga(x0, x1, x2, x3)
U35_ggga(x0, x1, x2, x3)
U36_ggga(x0, x1, x2, x3)
U37_ggga(x0, x1, x2, x3)
U38_ggga(x0, x1, x2, x3)
U39_ggga(x0, x1, x2)
U40_ggga(x0, x1, x2, x3)
U41_ggga(x0, x1, x2, x3)
U42_ggga(x0, x1, x2, x3)
U43_ggga(x0, x1, x2, x3)
U44_ggga(x0, x1, x2, x3)
U45_ggga(x0, x1, x2, x3)
U46_ggga(x0, x1, x2)
U47_ggga(x0, x1, x2, x3)
U48_ggga(x0, x1, x2, x3)
U49_ggga(x0, x1, x2, x3)
U50_ggga(x0, x1, x2, x3)
U51_ggga(x0, x1, x2, x3)
U52_ggga(x0, x1, x2, x3)
U53_ggga(x0, x1, x2)
U89_ggga(x0, x1, x2, x3, x4)
U90_ggga(x0, x1, x2, x3)
U91_gga(x0, x1, x2, x3)
U92_gga(x0, x1, x2)
U102_gga(x0, x1, x2, x3)
U103_gga(x0, x1, x2)
U113_gga(x0, x1, x2, x3)
U114_gga(x0, x1, x2)
U124_gga(x0, x1, x2, x3)
U125_gga(x0, x1, x2)
U135_gga(x0, x1, x2, x3)
U136_gga(x0, x1, x2)
U146_gga(x0, x1, x2, x3)
U147_gga(x0, x1, x2)
sum101_in_ggga(x0, x1, x2)
sum377_in_gggga(x0, x1, x2, x3)
U170_ggga(x0, x1, x2, x3)
U171_ggga(x0, x1, x2, x3)
U172_ggga(x0, x1, x2, x3)
U173_ggga(x0, x1, x2, x3)
U174_ggga(x0, x1, x2, x3)
U175_ggga(x0, x1, x2, x3)
U176_ggga(x0, x1, x2, x3)
U177_ggga(x0, x1, x2)
U87_gggga(x0, x1, x2, x3, x4)
U88_gggga(x0, x1, x2, x3)
sum107_in_gggga(x0, x1, x2, x3)
U54_gggga(x0, x1, x2, x3, x4)
U55_gggga(x0, x1, x2, x3, x4)
U56_gggga(x0, x1, x2, x3)
U57_gggga(x0, x1, x2, x3)
U58_gggga(x0, x1, x2, x3)
U59_gggga(x0, x1, x2, x3)
U60_gggga(x0, x1, x2, x3)
U61_gggga(x0, x1, x2, x3)
sum147_in_gggga(x0, x1, x2, x3)
U178_gggga(x0, x1, x2, x3, x4)
U179_gggga(x0, x1, x2, x3)
U180_gggga(x0, x1, x2, x3)
sum158_in_ggggga(x0, x1, x2, x3, x4)
U62_ggggga(x0, x1, x2, x3, x4, x5)
U63_ggggga(x0, x1, x2, x3, x4, x5)
U64_ggggga(x0, x1, x2, x3, x4)
U65_ggggga(x0, x1, x2, x3, x4)
U66_ggggga(x0, x1, x2, x3, x4)
U67_ggggga(x0, x1, x2, x3, x4)
U68_ggggga(x0, x1, x2, x3, x4)
sum193_in_ggggga(x0, x1, x2, x3, x4)
U181_ggggga(x0, x1, x2, x3, x4, x5)
U182_ggggga(x0, x1, x2, x3, x4)
U183_ggggga(x0, x1, x2, x3, x4)
U184_ggggga(x0, x1, x2, x3, x4)
sum209_in_gggggga(x0, x1, x2, x3, x4, x5)
U69_gggggga(x0, x1, x2, x3, x4, x5, x6)
U70_gggggga(x0, x1, x2, x3, x4, x5, x6)
U71_gggggga(x0, x1, x2, x3, x4, x5)
U72_gggggga(x0, x1, x2, x3, x4, x5)
U73_gggggga(x0, x1, x2, x3, x4, x5)
U74_gggggga(x0, x1, x2, x3, x4, x5)
sum239_in_gggggga(x0, x1, x2, x3, x4, x5)
U185_gggggga(x0, x1, x2, x3, x4, x5, x6)
U186_gggggga(x0, x1, x2, x3, x4, x5)
U187_gggggga(x0, x1, x2, x3, x4, x5)
U188_gggggga(x0, x1, x2, x3, x4, x5)
U189_gggggga(x0, x1, x2, x3, x4, x5)
sum260_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U75_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U76_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U77_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U78_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U79_ggggggga(x0, x1, x2, x3, x4, x5, x6)
sum285_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U190_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U191_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U192_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U193_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U194_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U195_ggggggga(x0, x1, x2, x3, x4, x5, x6)
sum311_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U80_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U81_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U82_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U83_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
sum331_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U196_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U197_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U198_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U199_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U200_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U201_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U202_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
sum362_in_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U84_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U85_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U86_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)

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

(263) QDPOrderProof (EQUIVALENT transformation)

We use the reduction pair processor [LPAR04].


The following pairs can be oriented strictly and are deleted.


WEIGHT1_IN_GA(.(0, .(T7105, T7106))) → U224_GA(T7105, T7106, sum2047_in_gga(T7105, T7106))
The remaining pairs can at least be oriented weakly.
Used ordering: Polynomial interpretation [POLO]:

POL(.(x1, x2)) = x1 + x2   
POL(0) = 1   
POL(U100_gga(x1, x2, x3)) = x3   
POL(U101_gga(x1, x2)) = x2   
POL(U102_gga(x1, x2, x3, x4)) = x4   
POL(U103_gga(x1, x2, x3)) = x3   
POL(U104_gga(x1, x2, x3)) = x3   
POL(U105_gga(x1, x2, x3)) = x3   
POL(U106_gga(x1, x2, x3)) = x3   
POL(U107_gga(x1, x2, x3)) = x3   
POL(U108_gga(x1, x2, x3)) = x3   
POL(U109_gga(x1, x2, x3)) = x3   
POL(U10_ggga(x1, x2, x3, x4)) = x4   
POL(U110_gga(x1, x2, x3)) = x3   
POL(U111_gga(x1, x2, x3)) = x3   
POL(U112_gga(x1, x2)) = x2   
POL(U113_gga(x1, x2, x3, x4)) = x4   
POL(U114_gga(x1, x2, x3)) = x3   
POL(U115_gga(x1, x2, x3)) = x3   
POL(U116_gga(x1, x2, x3)) = x3   
POL(U117_gga(x1, x2, x3)) = x3   
POL(U118_gga(x1, x2, x3)) = x3   
POL(U119_gga(x1, x2, x3)) = x3   
POL(U11_ggga(x1, x2, x3)) = x3   
POL(U120_gga(x1, x2, x3)) = x3   
POL(U121_gga(x1, x2, x3)) = x3   
POL(U122_gga(x1, x2, x3)) = x3   
POL(U123_gga(x1, x2)) = x2   
POL(U124_gga(x1, x2, x3, x4)) = x4   
POL(U125_gga(x1, x2, x3)) = x3   
POL(U126_gga(x1, x2, x3)) = x3   
POL(U127_gga(x1, x2, x3)) = x3   
POL(U128_gga(x1, x2, x3)) = x3   
POL(U129_gga(x1, x2, x3)) = x3   
POL(U12_ggga(x1, x2, x3, x4)) = x4   
POL(U130_gga(x1, x2, x3)) = x3   
POL(U131_gga(x1, x2, x3)) = x3   
POL(U132_gga(x1, x2, x3)) = x3   
POL(U133_gga(x1, x2, x3)) = x3   
POL(U134_gga(x1, x2)) = x2   
POL(U135_gga(x1, x2, x3, x4)) = x4   
POL(U136_gga(x1, x2, x3)) = x3   
POL(U137_gga(x1, x2, x3)) = x3   
POL(U138_gga(x1, x2, x3)) = x3   
POL(U139_gga(x1, x2, x3)) = x3   
POL(U13_ggga(x1, x2, x3, x4)) = x4   
POL(U140_gga(x1, x2, x3)) = x3   
POL(U141_gga(x1, x2, x3)) = x3   
POL(U142_gga(x1, x2, x3)) = x3   
POL(U143_gga(x1, x2, x3)) = x3   
POL(U144_gga(x1, x2, x3)) = x3   
POL(U145_gga(x1, x2)) = x2   
POL(U146_gga(x1, x2, x3, x4)) = x4   
POL(U147_gga(x1, x2, x3)) = x3   
POL(U148_gga(x1, x2, x3)) = x3   
POL(U149_gga(x1, x2, x3)) = x3   
POL(U14_ggga(x1, x2, x3, x4)) = x4   
POL(U150_gga(x1, x2, x3)) = x3   
POL(U151_gga(x1, x2, x3)) = x3   
POL(U152_gga(x1, x2, x3)) = x3   
POL(U153_gga(x1, x2, x3)) = x3   
POL(U154_gga(x1, x2, x3)) = x3   
POL(U155_gga(x1, x2, x3)) = x3   
POL(U156_gga(x1, x2)) = x2   
POL(U157_gga(x1, x2, x3, x4)) = x4   
POL(U158_gga(x1, x2, x3)) = x3   
POL(U159_gga(x1, x2, x3)) = x3   
POL(U15_ggga(x1, x2, x3, x4)) = x4   
POL(U160_gga(x1, x2, x3)) = x3   
POL(U161_gga(x1, x2, x3)) = x3   
POL(U162_gga(x1, x2, x3)) = x3   
POL(U163_gga(x1, x2, x3)) = x3   
POL(U164_gga(x1, x2, x3)) = x3   
POL(U165_gga(x1, x2, x3)) = x3   
POL(U166_gga(x1, x2, x3)) = x3   
POL(U167_gga(x1, x2)) = x2   
POL(U168_gga(x1, x2, x3, x4)) = 1 + x4   
POL(U169_gga(x1, x2, x3)) = x3   
POL(U16_ggga(x1, x2, x3, x4)) = x4   
POL(U170_ggga(x1, x2, x3, x4)) = x4   
POL(U171_ggga(x1, x2, x3, x4)) = x4   
POL(U172_ggga(x1, x2, x3, x4)) = x4   
POL(U173_ggga(x1, x2, x3, x4)) = x4   
POL(U174_ggga(x1, x2, x3, x4)) = x4   
POL(U175_ggga(x1, x2, x3, x4)) = x4   
POL(U176_ggga(x1, x2, x3, x4)) = x4   
POL(U177_ggga(x1, x2, x3)) = x3   
POL(U178_gggga(x1, x2, x3, x4, x5)) = x5   
POL(U179_gggga(x1, x2, x3, x4)) = x4   
POL(U17_ggga(x1, x2, x3, x4)) = x4   
POL(U180_gggga(x1, x2, x3, x4)) = x4   
POL(U181_ggggga(x1, x2, x3, x4, x5, x6)) = x6   
POL(U182_ggggga(x1, x2, x3, x4, x5)) = x5   
POL(U183_ggggga(x1, x2, x3, x4, x5)) = x5   
POL(U184_ggggga(x1, x2, x3, x4, x5)) = x5   
POL(U185_gggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(U186_gggggga(x1, x2, x3, x4, x5, x6)) = x5 + x6   
POL(U187_gggggga(x1, x2, x3, x4, x5, x6)) = x5 + x6   
POL(U188_gggggga(x1, x2, x3, x4, x5, x6)) = x5 + x6   
POL(U189_gggggga(x1, x2, x3, x4, x5, x6)) = x5 + x6   
POL(U18_ggga(x1, x2, x3)) = x3   
POL(U190_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x8   
POL(U191_ggggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(U192_ggggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(U193_ggggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(U194_ggggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(U195_ggggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(U196_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)) = x9   
POL(U197_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x8   
POL(U198_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x2 + x8   
POL(U199_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x2 + x8   
POL(U19_ggga(x1, x2, x3, x4)) = x4   
POL(U1_gggga(x1, x2, x3, x4, x5)) = x4 + x5   
POL(U200_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x8   
POL(U201_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x2 + x8   
POL(U202_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x2 + x8   
POL(U203_ggga(x1, x2, x3, x4)) = x4   
POL(U204_ggga(x1, x2, x3)) = x3   
POL(U205_ggga(x1, x2, x3)) = x3   
POL(U206_ggga(x1, x2, x3)) = x3   
POL(U207_ggga(x1, x2, x3)) = x3   
POL(U208_ggga(x1, x2, x3)) = x3   
POL(U209_ggga(x1, x2, x3)) = x3   
POL(U20_ggga(x1, x2, x3, x4)) = x4   
POL(U210_ggga(x1, x2, x3)) = x3   
POL(U211_gga(x1, x2, x3)) = x3   
POL(U212_gga(x1, x2, x3)) = x3   
POL(U213_gga(x1, x2, x3)) = x3   
POL(U214_gga(x1, x2, x3)) = 1 + x3   
POL(U215_gga(x1, x2, x3)) = x3   
POL(U216_gga(x1, x2, x3)) = 1 + x3   
POL(U217_gga(x1, x2, x3)) = x3   
POL(U218_gga(x1, x2, x3)) = 1 + x3   
POL(U219_gga(x1, x2)) = x2   
POL(U21_ggga(x1, x2, x3, x4)) = x4   
POL(U221_GA(x1, x2, x3, x4)) = x4   
POL(U224_GA(x1, x2, x3)) = x3   
POL(U22_ggga(x1, x2, x3, x4)) = x4   
POL(U23_ggga(x1, x2, x3, x4)) = x4   
POL(U24_ggga(x1, x2, x3, x4)) = x4   
POL(U25_ggga(x1, x2, x3)) = x3   
POL(U26_ggga(x1, x2, x3, x4)) = x4   
POL(U27_ggga(x1, x2, x3, x4)) = x4   
POL(U28_ggga(x1, x2, x3, x4)) = x4   
POL(U29_ggga(x1, x2, x3, x4)) = x4   
POL(U2_gggga(x1, x2, x3, x4)) = x4   
POL(U30_ggga(x1, x2, x3, x4)) = x4   
POL(U31_ggga(x1, x2, x3, x4)) = x4   
POL(U32_ggga(x1, x2, x3)) = x3   
POL(U33_ggga(x1, x2, x3, x4)) = x4   
POL(U34_ggga(x1, x2, x3, x4)) = x4   
POL(U35_ggga(x1, x2, x3, x4)) = x4   
POL(U36_ggga(x1, x2, x3, x4)) = x4   
POL(U37_ggga(x1, x2, x3, x4)) = x4   
POL(U38_ggga(x1, x2, x3, x4)) = x4   
POL(U39_ggga(x1, x2, x3)) = x3   
POL(U3_ggga(x1, x2, x3, x4)) = x4   
POL(U40_ggga(x1, x2, x3, x4)) = x4   
POL(U41_ggga(x1, x2, x3, x4)) = x4   
POL(U42_ggga(x1, x2, x3, x4)) = x4   
POL(U43_ggga(x1, x2, x3, x4)) = x4   
POL(U44_ggga(x1, x2, x3, x4)) = x4   
POL(U45_ggga(x1, x2, x3, x4)) = x4   
POL(U46_ggga(x1, x2, x3)) = x3   
POL(U47_ggga(x1, x2, x3, x4)) = x4   
POL(U48_ggga(x1, x2, x3, x4)) = x4   
POL(U49_ggga(x1, x2, x3, x4)) = x4   
POL(U4_ggga(x1, x2, x3, x4)) = x4   
POL(U50_ggga(x1, x2, x3, x4)) = x4   
POL(U51_ggga(x1, x2, x3, x4)) = x4   
POL(U52_ggga(x1, x2, x3, x4)) = x4   
POL(U53_ggga(x1, x2, x3)) = x3   
POL(U54_gggga(x1, x2, x3, x4, x5)) = x5   
POL(U55_gggga(x1, x2, x3, x4, x5)) = x5   
POL(U56_gggga(x1, x2, x3, x4)) = x4   
POL(U57_gggga(x1, x2, x3, x4)) = x4   
POL(U58_gggga(x1, x2, x3, x4)) = x4   
POL(U59_gggga(x1, x2, x3, x4)) = x4   
POL(U5_ggga(x1, x2, x3, x4)) = x4   
POL(U60_gggga(x1, x2, x3, x4)) = x4   
POL(U61_gggga(x1, x2, x3, x4)) = x4   
POL(U62_ggggga(x1, x2, x3, x4, x5, x6)) = x6   
POL(U63_ggggga(x1, x2, x3, x4, x5, x6)) = x6   
POL(U64_ggggga(x1, x2, x3, x4, x5)) = x5   
POL(U65_ggggga(x1, x2, x3, x4, x5)) = x5   
POL(U66_ggggga(x1, x2, x3, x4, x5)) = x5   
POL(U67_ggggga(x1, x2, x3, x4, x5)) = x5   
POL(U68_ggggga(x1, x2, x3, x4, x5)) = x5   
POL(U69_gggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(U6_ggga(x1, x2, x3, x4)) = x4   
POL(U70_gggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(U71_gggggga(x1, x2, x3, x4, x5, x6)) = x5 + x6   
POL(U72_gggggga(x1, x2, x3, x4, x5, x6)) = x5 + x6   
POL(U73_gggggga(x1, x2, x3, x4, x5, x6)) = x5 + x6   
POL(U74_gggggga(x1, x2, x3, x4, x5, x6)) = x5 + x6   
POL(U75_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x8   
POL(U76_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x8   
POL(U77_ggggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(U78_ggggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(U79_ggggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(U7_ggga(x1, x2, x3, x4)) = x4   
POL(U80_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)) = x9   
POL(U81_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)) = x9   
POL(U82_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x8   
POL(U83_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x8   
POL(U84_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)) = x10   
POL(U85_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)) = x10   
POL(U86_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)) = x9   
POL(U87_gggga(x1, x2, x3, x4, x5)) = x5   
POL(U88_gggga(x1, x2, x3, x4)) = x2 + x4   
POL(U89_ggga(x1, x2, x3, x4, x5)) = x5   
POL(U8_ggga(x1, x2, x3, x4)) = x4   
POL(U90_ggga(x1, x2, x3, x4)) = x4   
POL(U91_gga(x1, x2, x3, x4)) = x4   
POL(U92_gga(x1, x2, x3)) = x3   
POL(U93_gga(x1, x2, x3)) = x3   
POL(U94_gga(x1, x2, x3)) = x3   
POL(U95_gga(x1, x2, x3)) = x3   
POL(U96_gga(x1, x2, x3)) = x3   
POL(U97_gga(x1, x2, x3)) = x3   
POL(U98_gga(x1, x2, x3)) = x3   
POL(U99_gga(x1, x2, x3)) = x3   
POL(U9_ggga(x1, x2, x3, x4)) = x4   
POL(WEIGHT1_IN_GA(x1)) = x1   
POL([]) = 0   
POL(s(x1)) = 0   
POL(sum101_in_ggga(x1, x2, x3)) = x2   
POL(sum101_out_ggga(x1, x2, x3, x4)) = x4   
POL(sum107_in_gggga(x1, x2, x3, x4)) = x2   
POL(sum107_out_gggga(x1, x2, x3, x4, x5)) = x5   
POL(sum10_in_ggga(x1, x2, x3)) = x3   
POL(sum10_out_ggga(x1, x2, x3, x4)) = x4   
POL(sum1253_in_gga(x1, x2)) = x2   
POL(sum1253_out_gga(x1, x2, x3)) = x3   
POL(sum1335_in_gga(x1, x2)) = x2   
POL(sum1335_out_gga(x1, x2, x3)) = x3   
POL(sum1373_in_gga(x1, x2)) = x2   
POL(sum1373_out_gga(x1, x2, x3)) = x3   
POL(sum1447_in_gga(x1, x2)) = x2   
POL(sum1447_out_gga(x1, x2, x3)) = x3   
POL(sum147_in_gggga(x1, x2, x3, x4)) = x2   
POL(sum147_out_gggga(x1, x2, x3, x4, x5)) = x5   
POL(sum1485_in_gga(x1, x2)) = x2   
POL(sum1485_out_gga(x1, x2, x3)) = x3   
POL(sum1559_in_gga(x1, x2)) = x2   
POL(sum1559_out_gga(x1, x2, x3)) = x3   
POL(sum158_in_ggggga(x1, x2, x3, x4, x5)) = x2   
POL(sum158_out_ggggga(x1, x2, x3, x4, x5, x6)) = x6   
POL(sum1597_in_gga(x1, x2)) = x2   
POL(sum1597_out_gga(x1, x2, x3)) = x3   
POL(sum1671_in_gga(x1, x2)) = x2   
POL(sum1671_out_gga(x1, x2, x3)) = x3   
POL(sum1709_in_gga(x1, x2)) = x2   
POL(sum1709_out_gga(x1, x2, x3)) = x3   
POL(sum1783_in_gga(x1, x2)) = x2   
POL(sum1783_out_gga(x1, x2, x3)) = x3   
POL(sum1821_in_gga(x1, x2)) = x2   
POL(sum1821_out_gga(x1, x2, x3)) = x3   
POL(sum1895_in_gga(x1, x2)) = x2   
POL(sum1895_out_gga(x1, x2, x3)) = x3   
POL(sum1933_in_gga(x1, x2)) = x2   
POL(sum1933_out_gga(x1, x2, x3)) = x3   
POL(sum193_in_ggggga(x1, x2, x3, x4, x5)) = x2   
POL(sum193_out_ggggga(x1, x2, x3, x4, x5, x6)) = x6   
POL(sum2007_in_gga(x1, x2)) = x2   
POL(sum2007_out_gga(x1, x2, x3)) = x3   
POL(sum2047_in_gga(x1, x2)) = x1 + x2   
POL(sum2047_out_gga(x1, x2, x3)) = x3   
POL(sum209_in_gggggga(x1, x2, x3, x4, x5, x6)) = x2 + x6   
POL(sum209_out_gggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(sum2121_in_gga(x1, x2)) = 1 + x2   
POL(sum2121_out_gga(x1, x2, x3)) = x3   
POL(sum239_in_gggggga(x1, x2, x3, x4, x5, x6)) = x2 + x6   
POL(sum239_out_gggggga(x1, x2, x3, x4, x5, x6, x7)) = x7   
POL(sum260_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)) = x2   
POL(sum260_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x8   
POL(sum285_in_ggggggga(x1, x2, x3, x4, x5, x6, x7)) = x2   
POL(sum285_out_ggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x8   
POL(sum311_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x2   
POL(sum311_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)) = x9   
POL(sum331_in_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8)) = x2 + x3   
POL(sum331_out_gggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)) = x9   
POL(sum362_in_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9)) = x2   
POL(sum362_out_ggggggggga(x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)) = x10   
POL(sum377_in_gggga(x1, x2, x3, x4)) = x3 + x4   
POL(sum377_out_gggga(x1, x2, x3, x4, x5)) = x5   
POL(sum385_in_ggga(x1, x2, x3)) = x3   
POL(sum385_out_ggga(x1, x2, x3, x4)) = x4   
POL(sum47_in_gggga(x1, x2, x3, x4)) = x3 + x4   
POL(sum47_out_gggga(x1, x2, x3, x4, x5)) = x5   
POL(sum55_in_ggga(x1, x2, x3)) = x2   
POL(sum55_out_ggga(x1, x2, x3, x4)) = x4   

The following usable rules [FROCOS05] were oriented:

sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156) → U203_ggga(T154, T155, T156, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0)))))))))
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654) → U204_ggga(T5653, T5654, sum1253_in_gga(T5653, T5654))
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890) → U205_ggga(T5889, T5890, sum1373_in_gga(T5889, T5890))
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092) → U206_ggga(T6091, T6092, sum1485_in_gga(T6091, T6092))
sum10_in_ggga(s(s(s(0))), T6293, T6294) → U207_ggga(T6293, T6294, sum1597_in_gga(T6293, T6294))
sum10_in_ggga(s(s(0)), T6495, T6496) → U208_ggga(T6495, T6496, sum1709_in_gga(T6495, T6496))
sum10_in_ggga(s(0), T6697, T6698) → U209_ggga(T6697, T6698, sum1821_in_gga(T6697, T6698))
sum10_in_ggga(0, T6899, T6900) → U210_ggga(T6899, T6900, sum1933_in_gga(T6899, T6900))
sum2047_in_gga(s(T7120), T7121) → U211_gga(T7120, T7121, sum1933_in_gga(T7120, T7121))
sum2047_in_gga(0, .(s(T7139), T7140)) → U212_gga(T7139, T7140, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140)))
sum2047_in_gga(0, .(0, .(s(T7158), T7159))) → U213_gga(T7158, T7159, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159))))
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178)))) → U214_gga(T7177, T7178, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178)))))
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197))))) → U215_gga(T7196, T7197, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216)))))) → U216_gga(T7215, T7216, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216)))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235))))))) → U217_gga(T7234, T7235, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254)))))))) → U218_gga(T7253, T7254, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254)))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261)))))))) → U219_gga(T7261, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261)))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, []))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, [])) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, []) → sum2047_out_gga(0, [], .(0, []))
sum47_in_gggga(s(T181), T182, T183, T184) → U1_gggga(T181, T182, T183, T184, sum47_in_gggga(T181, T182, T183, s(T184)))
sum47_in_gggga(0, T201, T202, T203) → U2_gggga(T201, T202, T203, sum55_in_ggga(T201, T202, T203))
U203_ggga(T154, T155, T156, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
sum1253_in_gga(s(T5665), T5666) → U93_gga(T5665, T5666, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0)))))))))
sum1253_in_gga(0, .(s(T5688), T5689)) → U94_gga(T5688, T5689, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689)))
sum1253_in_gga(0, .(0, .(s(T5711), T5712))) → U95_gga(T5711, T5712, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712))))
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735)))) → U96_gga(T5734, T5735, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735)))))
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758))))) → U97_gga(T5757, T5758, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))) → U98_gga(T5780, T5781, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))) → U99_gga(T5803, T5804, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))) → U100_gga(T5826, T5827, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))) → U101_gga(T5840, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, []))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, [])) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, []) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U204_ggga(T5653, T5654, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum1373_in_gga(s(T5901), T5902) → U104_gga(T5901, T5902, sum1253_in_gga(T5901, T5902))
sum1373_in_gga(0, .(s(T5920), T5921)) → U105_gga(T5920, T5921, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921)))
sum1373_in_gga(0, .(0, .(s(T5939), T5940))) → U106_gga(T5939, T5940, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940))))
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959)))) → U107_gga(T5958, T5959, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959)))))
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978))))) → U108_gga(T5977, T5978, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))) → U109_gga(T5996, T5997, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))) → U110_gga(T6015, T6016, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))) → U111_gga(T6034, T6035, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))) → U112_gga(T6042, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, []))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, [])) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, []) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U205_ggga(T5889, T5890, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
sum1485_in_gga(s(T6103), T6104) → U115_gga(T6103, T6104, sum1373_in_gga(T6103, T6104))
sum1485_in_gga(0, .(s(T6122), T6123)) → U116_gga(T6122, T6123, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123)))
sum1485_in_gga(0, .(0, .(s(T6141), T6142))) → U117_gga(T6141, T6142, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142))))
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161)))) → U118_gga(T6160, T6161, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161)))))
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180))))) → U119_gga(T6179, T6180, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))) → U120_gga(T6198, T6199, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))) → U121_gga(T6217, T6218, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))) → U122_gga(T6236, T6237, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))) → U123_gga(T6244, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, []))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, [])) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, []) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U206_ggga(T6091, T6092, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
sum1597_in_gga(s(T6305), T6306) → U126_gga(T6305, T6306, sum1485_in_gga(T6305, T6306))
sum1597_in_gga(0, .(s(T6324), T6325)) → U127_gga(T6324, T6325, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325)))
sum1597_in_gga(0, .(0, .(s(T6343), T6344))) → U128_gga(T6343, T6344, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344))))
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363)))) → U129_gga(T6362, T6363, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363)))))
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382))))) → U130_gga(T6381, T6382, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))) → U131_gga(T6400, T6401, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))) → U132_gga(T6419, T6420, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))) → U133_gga(T6438, T6439, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))) → U134_gga(T6446, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, []))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, [])) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, []) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U207_ggga(T6293, T6294, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
sum1709_in_gga(s(T6507), T6508) → U137_gga(T6507, T6508, sum1597_in_gga(T6507, T6508))
sum1709_in_gga(0, .(s(T6526), T6527)) → U138_gga(T6526, T6527, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527)))
sum1709_in_gga(0, .(0, .(s(T6545), T6546))) → U139_gga(T6545, T6546, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546))))
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565)))) → U140_gga(T6564, T6565, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565)))))
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584))))) → U141_gga(T6583, T6584, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))) → U142_gga(T6602, T6603, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))) → U143_gga(T6621, T6622, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))) → U144_gga(T6640, T6641, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))) → U145_gga(T6648, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, []))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, [])) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, []) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U208_ggga(T6495, T6496, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
sum1821_in_gga(s(T6709), T6710) → U148_gga(T6709, T6710, sum1709_in_gga(T6709, T6710))
sum1821_in_gga(0, .(s(T6728), T6729)) → U149_gga(T6728, T6729, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729)))
sum1821_in_gga(0, .(0, .(s(T6747), T6748))) → U150_gga(T6747, T6748, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748))))
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767)))) → U151_gga(T6766, T6767, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767)))))
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786))))) → U152_gga(T6785, T6786, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))) → U153_gga(T6804, T6805, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))) → U154_gga(T6823, T6824, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))) → U155_gga(T6842, T6843, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))) → U156_gga(T6850, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, []))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, [])) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, []) → sum1821_out_gga(0, [], .(s(s(0)), []))
U209_ggga(T6697, T6698, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
sum1933_in_gga(s(T6911), T6912) → U159_gga(T6911, T6912, sum1821_in_gga(T6911, T6912))
sum1933_in_gga(0, .(s(T6930), T6931)) → U160_gga(T6930, T6931, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931)))
sum1933_in_gga(0, .(0, .(s(T6949), T6950))) → U161_gga(T6949, T6950, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950))))
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969)))) → U162_gga(T6968, T6969, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969)))))
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988))))) → U163_gga(T6987, T6988, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))) → U164_gga(T7006, T7007, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))) → U165_gga(T7025, T7026, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))) → U166_gga(T7044, T7045, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))) → U167_gga(T7052, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, []))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, [])) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, []) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U211_gga(T7120, T7121, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
sum2007_in_gga(.(s(T7071), T7072), T7073) → U157_gga(T7071, T7072, T7073, sum1895_in_gga(.(T7071, T7072), T7073))
sum2007_in_gga(.(0, T7085), T7086) → U158_gga(T7085, T7086, sum2007_in_gga(T7085, T7086))
U212_gga(T7139, T7140, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
U213_gga(T7158, T7159, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
U214_gga(T7177, T7178, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
U215_gga(T7196, T7197, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
U216_gga(T7215, T7216, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
U217_gga(T7234, T7235, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
U218_gga(T7253, T7254, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
sum2121_in_gga(.(s(T7280), T7281), T7282) → U168_gga(T7280, T7281, T7282, sum2007_in_gga(.(T7280, T7281), T7282))
sum2121_in_gga(.(0, T7294), T7295) → U169_gga(T7294, T7295, sum2121_in_gga(T7294, T7295))
sum2121_in_gga([], T7301) → sum2121_out_gga([], T7301, .(0, T7301))
U219_gga(T7261, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
U1_gggga(T181, T182, T183, T184, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
sum55_in_ggga(s(T219), T220, T221) → U3_ggga(T219, T220, T221, sum55_in_ggga(T219, T220, s(T221)))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360) → U4_ggga(T358, T359, T360, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115) → U5_ggga(T4113, T4114, T4115, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146) → U6_ggga(T4144, T4145, T4146, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145)))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177) → U7_ggga(T4175, T4176, T4177, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208) → U8_ggga(T4206, T4207, T4208, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207)))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239) → U9_ggga(T4237, T4238, T4239, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270) → U10_ggga(T4268, T4269, T4270, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283) → U11_ggga(T4282, T4283, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337) → U12_ggga(T4335, T4336, T4337, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368) → U13_ggga(T4366, T4367, T4368, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367)))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399) → U14_ggga(T4397, T4398, T4399, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430) → U15_ggga(T4428, T4429, T4430, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429)))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461) → U16_ggga(T4459, T4460, T4461, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492) → U17_ggga(T4490, T4491, T4492, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505) → U18_ggga(T4504, T4505, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559) → U19_ggga(T4557, T4558, T4559, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590) → U20_ggga(T4588, T4589, T4590, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589)))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621) → U21_ggga(T4619, T4620, T4621, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652) → U22_ggga(T4650, T4651, T4652, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651)))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683) → U23_ggga(T4681, T4682, T4683, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714) → U24_ggga(T4712, T4713, T4714, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727) → U25_ggga(T4726, T4727, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781) → U26_ggga(T4779, T4780, T4781, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812) → U27_ggga(T4810, T4811, T4812, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811)))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843) → U28_ggga(T4841, T4842, T4843, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874) → U29_ggga(T4872, T4873, T4874, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873)))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905) → U30_ggga(T4903, T4904, T4905, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936) → U31_ggga(T4934, T4935, T4936, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949) → U32_ggga(T4948, T4949, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003) → U33_ggga(T5001, T5002, T5003, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034) → U34_ggga(T5032, T5033, T5034, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033)))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065) → U35_ggga(T5063, T5064, T5065, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096) → U36_ggga(T5094, T5095, T5096, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095)))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127) → U37_ggga(T5125, T5126, T5127, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158) → U38_ggga(T5156, T5157, T5158, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171) → U39_ggga(T5170, T5171, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225) → U40_ggga(T5223, T5224, T5225, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224))))
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256) → U41_ggga(T5254, T5255, T5256, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255)))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287) → U42_ggga(T5285, T5286, T5287, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318) → U43_ggga(T5316, T5317, T5318, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317)))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349) → U44_ggga(T5347, T5348, T5349, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380) → U45_ggga(T5378, T5379, T5380, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393) → U46_ggga(T5392, T5393, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447) → U47_ggga(T5445, T5446, T5447, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446))))
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478) → U48_ggga(T5476, T5477, T5478, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477)))))
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509) → U49_ggga(T5507, T5508, T5509, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540) → U50_ggga(T5538, T5539, T5540, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539)))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571) → U51_ggga(T5569, T5570, T5571, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602) → U52_ggga(T5600, T5601, T5602, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615) → U53_ggga(T5614, T5615, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U2_gggga(T201, T202, T203, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U159_gga(T6911, T6912, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
U148_gga(T6709, T6710, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
U137_gga(T6507, T6508, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
U126_gga(T6305, T6306, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
U115_gga(T6103, T6104, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
U104_gga(T5901, T5902, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
U93_gga(T5665, T5666, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466) → U89_ggga(T2463, T2464, T2465, T2466, sum377_in_gggga(T2463, T2464, s(T2465), T2466))
sum385_in_ggga(.(0, T2483), T2484, T2485) → U90_ggga(T2483, T2484, T2485, sum385_in_ggga(T2483, T2484, T2485))
U94_gga(T5688, T5689, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
U95_gga(T5711, T5712, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
U96_gga(T5734, T5735, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
U97_gga(T5757, T5758, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
U98_gga(T5780, T5781, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
U99_gga(T5803, T5804, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
U100_gga(T5826, T5827, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
sum1335_in_gga(.(s(T5859), T5860), T5861) → U91_gga(T5859, T5860, T5861, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861))
sum1335_in_gga(.(0, T5873), T5874) → U92_gga(T5873, T5874, sum1335_in_gga(T5873, T5874))
sum1335_in_gga([], T5880) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U101_gga(T5840, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
U105_gga(T5920, T5921, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
U106_gga(T5939, T5940, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
U107_gga(T5958, T5959, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
U108_gga(T5977, T5978, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
U109_gga(T5996, T5997, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
U110_gga(T6015, T6016, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
U111_gga(T6034, T6035, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
sum1447_in_gga(.(s(T6061), T6062), T6063) → U102_gga(T6061, T6062, T6063, sum1335_in_gga(.(T6061, T6062), T6063))
sum1447_in_gga(.(0, T6075), T6076) → U103_gga(T6075, T6076, sum1447_in_gga(T6075, T6076))
sum1447_in_gga([], T6082) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U112_gga(T6042, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
U116_gga(T6122, T6123, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
U117_gga(T6141, T6142, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
U118_gga(T6160, T6161, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
U119_gga(T6179, T6180, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
U120_gga(T6198, T6199, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
U121_gga(T6217, T6218, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
U122_gga(T6236, T6237, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
sum1559_in_gga(.(s(T6263), T6264), T6265) → U113_gga(T6263, T6264, T6265, sum1447_in_gga(.(T6263, T6264), T6265))
sum1559_in_gga(.(0, T6277), T6278) → U114_gga(T6277, T6278, sum1559_in_gga(T6277, T6278))
sum1559_in_gga([], T6284) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U123_gga(T6244, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
U127_gga(T6324, T6325, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
U128_gga(T6343, T6344, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
U129_gga(T6362, T6363, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
U130_gga(T6381, T6382, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
U131_gga(T6400, T6401, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
U132_gga(T6419, T6420, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
U133_gga(T6438, T6439, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
sum1671_in_gga(.(s(T6465), T6466), T6467) → U124_gga(T6465, T6466, T6467, sum1559_in_gga(.(T6465, T6466), T6467))
sum1671_in_gga(.(0, T6479), T6480) → U125_gga(T6479, T6480, sum1671_in_gga(T6479, T6480))
sum1671_in_gga([], T6486) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U134_gga(T6446, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
U138_gga(T6526, T6527, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
U139_gga(T6545, T6546, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
U140_gga(T6564, T6565, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
U141_gga(T6583, T6584, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
U142_gga(T6602, T6603, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
U143_gga(T6621, T6622, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
U144_gga(T6640, T6641, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
sum1783_in_gga(.(s(T6667), T6668), T6669) → U135_gga(T6667, T6668, T6669, sum1671_in_gga(.(T6667, T6668), T6669))
sum1783_in_gga(.(0, T6681), T6682) → U136_gga(T6681, T6682, sum1783_in_gga(T6681, T6682))
sum1783_in_gga([], T6688) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U145_gga(T6648, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
U149_gga(T6728, T6729, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
U150_gga(T6747, T6748, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
U151_gga(T6766, T6767, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
U152_gga(T6785, T6786, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
U153_gga(T6804, T6805, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
U154_gga(T6823, T6824, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
U155_gga(T6842, T6843, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
sum1895_in_gga(.(s(T6869), T6870), T6871) → U146_gga(T6869, T6870, T6871, sum1783_in_gga(.(T6869, T6870), T6871))
sum1895_in_gga(.(0, T6883), T6884) → U147_gga(T6883, T6884, sum1895_in_gga(T6883, T6884))
sum1895_in_gga([], T6890) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U156_gga(T6850, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
U160_gga(T6930, T6931, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
U161_gga(T6949, T6950, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
U162_gga(T6968, T6969, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
U163_gga(T6987, T6988, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
U164_gga(T7006, T7007, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
U165_gga(T7025, T7026, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
U166_gga(T7044, T7045, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
sum2007_in_gga([], T7092) → sum2007_out_gga([], T7092, .(s(0), T7092))
U167_gga(T7052, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
U169_gga(T7294, T7295, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
U168_gga(T7280, T7281, T7282, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
U158_gga(T7085, T7086, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U157_gga(T7071, T7072, T7073, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
U3_ggga(T219, T220, T221, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
sum101_in_ggga(s(T380), T381, T382) → U170_ggga(T380, T381, T382, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380)))))))))
sum101_in_ggga(0, .(s(T3891), T3892), T3893) → U171_ggga(T3891, T3892, T3893, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892))))
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924) → U172_ggga(T3922, T3923, T3924, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923)))))
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955) → U173_ggga(T3953, T3954, T3955, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986) → U174_ggga(T3984, T3985, T3986, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985)))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017) → U175_ggga(T4015, T4016, T4017, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048) → U176_ggga(T4046, T4047, T4048, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061) → U177_ggga(T4060, T4061, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
U5_ggga(T4113, T4114, T4115, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
U6_ggga(T4144, T4145, T4146, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
U7_ggga(T4175, T4176, T4177, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
U8_ggga(T4206, T4207, T4208, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
U9_ggga(T4237, T4238, T4239, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
U10_ggga(T4268, T4269, T4270, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
sum385_in_ggga([], T2494, T2495) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U11_ggga(T4282, T4283, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
U12_ggga(T4335, T4336, T4337, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
U13_ggga(T4366, T4367, T4368, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
U14_ggga(T4397, T4398, T4399, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
U15_ggga(T4428, T4429, T4430, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
U16_ggga(T4459, T4460, T4461, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
U17_ggga(T4490, T4491, T4492, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
U18_ggga(T4504, T4505, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
U19_ggga(T4557, T4558, T4559, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
U20_ggga(T4588, T4589, T4590, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
U21_ggga(T4619, T4620, T4621, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
U22_ggga(T4650, T4651, T4652, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
U23_ggga(T4681, T4682, T4683, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
U24_ggga(T4712, T4713, T4714, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
U25_ggga(T4726, T4727, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
U26_ggga(T4779, T4780, T4781, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
U27_ggga(T4810, T4811, T4812, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
U28_ggga(T4841, T4842, T4843, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
U29_ggga(T4872, T4873, T4874, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
U30_ggga(T4903, T4904, T4905, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
U31_ggga(T4934, T4935, T4936, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
U32_ggga(T4948, T4949, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
U33_ggga(T5001, T5002, T5003, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
U34_ggga(T5032, T5033, T5034, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
U35_ggga(T5063, T5064, T5065, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
U36_ggga(T5094, T5095, T5096, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
U37_ggga(T5125, T5126, T5127, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
U38_ggga(T5156, T5157, T5158, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
U39_ggga(T5170, T5171, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
U40_ggga(T5223, T5224, T5225, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
U41_ggga(T5254, T5255, T5256, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
U42_ggga(T5285, T5286, T5287, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
U43_ggga(T5316, T5317, T5318, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
U44_ggga(T5347, T5348, T5349, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
U45_ggga(T5378, T5379, T5380, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
U46_ggga(T5392, T5393, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
U47_ggga(T5445, T5446, T5447, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
U48_ggga(T5476, T5477, T5478, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
U49_ggga(T5507, T5508, T5509, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
U50_ggga(T5538, T5539, T5540, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
U51_ggga(T5569, T5570, T5571, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
U52_ggga(T5600, T5601, T5602, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
U53_ggga(T5614, T5615, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
U147_gga(T6883, T6884, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
U146_gga(T6869, T6870, T6871, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
U136_gga(T6681, T6682, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U135_gga(T6667, T6668, T6669, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
U125_gga(T6479, T6480, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U124_gga(T6465, T6466, T6467, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
U114_gga(T6277, T6278, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U113_gga(T6263, T6264, T6265, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
U103_gga(T6075, T6076, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U102_gga(T6061, T6062, T6063, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
U92_gga(T5873, T5874, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U91_gga(T5859, T5860, T5861, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
U171_ggga(T3891, T3892, T3893, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
U172_ggga(T3922, T3923, T3924, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
U173_ggga(T3953, T3954, T3955, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
U174_ggga(T3984, T3985, T3986, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
U175_ggga(T4015, T4016, T4017, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
U176_ggga(T4046, T4047, T4048, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
U177_ggga(T4060, T4061, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
sum107_in_gggga(s(T407), T408, T409, T410) → U54_gggga(T407, T408, T409, T410, sum107_in_gggga(T407, T408, s(T409), T410))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573) → U55_gggga(T570, T571, T572, T573, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573))
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760) → U56_gggga(T3758, T3759, T3760, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758))))
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779) → U57_gggga(T3777, T3778, T3779, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777))))
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798) → U58_gggga(T3796, T3797, T3798, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796))))
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817) → U59_gggga(T3815, T3816, T3817, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815))))
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836) → U60_gggga(T3834, T3835, T3836, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834))))
sum107_in_gggga(0, .(0, T3853), T3854, T3855) → U61_gggga(T3853, T3854, T3855, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853))))
sum107_in_gggga(0, [], T3864, T3865) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U170_ggga(T380, T381, T382, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
U54_gggga(T407, T408, T409, T410, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
sum147_in_gggga(s(s(T623)), T624, T625, T626) → U178_gggga(T623, T624, T625, T626, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623)))))))))
sum147_in_gggga(s(0), T3720, T3721, T3722) → U179_gggga(T3720, T3721, T3722, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720))))
sum147_in_gggga(0, T3739, T3740, T3741) → U180_gggga(T3739, T3740, T3741, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739))))
U55_gggga(T570, T571, T572, T573, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
sum158_in_ggggga(s(T657), T658, T659, T660, T661) → U62_ggggga(T657, T658, T659, T660, T661, sum158_in_ggggga(T657, T658, s(T659), T660, T661))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836) → U63_ggggga(T832, T833, T834, T835, T836, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836))
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593) → U64_ggggga(T3590, T3591, T3592, T3593, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590)))))
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618) → U65_ggggga(T3615, T3616, T3617, T3618, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615)))))
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643) → U66_ggggga(T3640, T3641, T3642, T3643, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640)))))
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668) → U67_ggggga(T3665, T3666, T3667, T3668, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665)))))
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693) → U68_ggggga(T3690, T3691, T3692, T3693, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690)))))
sum158_in_ggggga(0, [], T3705, T3706, T3707) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U178_gggga(T623, T624, T625, T626, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
U62_ggggga(T657, T658, T659, T660, T661, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932) → U181_ggggga(T928, T929, T930, T931, T932, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928)))))))))
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518) → U182_ggggga(T3515, T3516, T3517, T3518, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515)))))
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543) → U183_ggggga(T3540, T3541, T3542, T3543, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540)))))
sum193_in_ggggga(0, T3565, T3566, T3567, T3568) → U184_ggggga(T3565, T3566, T3567, T3568, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565)))))
U63_ggggga(T832, T833, T834, T835, T836, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974) → U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149))
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383))))))
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414))))))
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445))))))
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476))))))
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U181_ggggga(T928, T929, T930, T931, T932, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295)))))))))
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259))))))
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290))))))
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321))))))
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352))))))
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512))
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137)))))))
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174)))))))
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211)))))))
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724)))))))))
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952)))))))
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989)))))))
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026)))))))
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063)))))))
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100)))))))
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925))
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852))))))))
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895))))))))
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215)))))))))
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594))))))))
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637))))))))
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680))))))))
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723))))))))
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766))))))))
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809))))))))
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381)))))))))
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528)))))))))
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
sum377_in_gggga(s(T2420), T2421, T2422, T2423) → U87_gggga(T2420, T2421, T2422, T2423, sum377_in_gggga(T2420, T2421, s(T2422), T2423))
sum377_in_gggga(0, T2440, T2441, T2442) → U88_gggga(T2440, T2441, T2442, sum385_in_ggga(T2440, T2441, T2442))
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
U56_gggga(T3758, T3759, T3760, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
U57_gggga(T3777, T3778, T3779, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
U58_gggga(T3796, T3797, T3798, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
U59_gggga(T3815, T3816, T3817, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
U60_gggga(T3834, T3835, T3836, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
U61_gggga(T3853, T3854, T3855, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
U179_gggga(T3720, T3721, T3722, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
U180_gggga(T3739, T3740, T3741, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U64_ggggga(T3590, T3591, T3592, T3593, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
U65_ggggga(T3615, T3616, T3617, T3618, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
U66_ggggga(T3640, T3641, T3642, T3643, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
U67_ggggga(T3665, T3666, T3667, T3668, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
U68_ggggga(T3690, T3691, T3692, T3693, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
U182_ggggga(T3515, T3516, T3517, T3518, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
U183_ggggga(T3540, T3541, T3542, T3543, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
U184_ggggga(T3565, T3566, T3567, T3568, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
U87_gggga(T2420, T2421, T2422, T2423, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U88_gggga(T2440, T2441, T2442, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U89_ggga(T2463, T2464, T2465, T2466, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
U90_ggga(T2483, T2484, T2485, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)

(264) Obligation:

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

WEIGHT1_IN_GA(.(s(T24), .(T25, T26))) → U221_GA(T24, T25, T26, sum10_in_ggga(T24, T25, T26))
U221_GA(T24, T25, T26, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30)
U224_GA(T7105, T7106, sum2047_out_gga(T7105, T7106, T7109)) → WEIGHT1_IN_GA(T7109)

The TRS R consists of the following rules:

sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156) → U203_ggga(T154, T155, T156, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0)))))))))
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654) → U204_ggga(T5653, T5654, sum1253_in_gga(T5653, T5654))
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890) → U205_ggga(T5889, T5890, sum1373_in_gga(T5889, T5890))
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092) → U206_ggga(T6091, T6092, sum1485_in_gga(T6091, T6092))
sum10_in_ggga(s(s(s(0))), T6293, T6294) → U207_ggga(T6293, T6294, sum1597_in_gga(T6293, T6294))
sum10_in_ggga(s(s(0)), T6495, T6496) → U208_ggga(T6495, T6496, sum1709_in_gga(T6495, T6496))
sum10_in_ggga(s(0), T6697, T6698) → U209_ggga(T6697, T6698, sum1821_in_gga(T6697, T6698))
sum10_in_ggga(0, T6899, T6900) → U210_ggga(T6899, T6900, sum1933_in_gga(T6899, T6900))
sum2047_in_gga(s(T7120), T7121) → U211_gga(T7120, T7121, sum1933_in_gga(T7120, T7121))
sum2047_in_gga(0, .(s(T7139), T7140)) → U212_gga(T7139, T7140, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140)))
sum2047_in_gga(0, .(0, .(s(T7158), T7159))) → U213_gga(T7158, T7159, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159))))
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178)))) → U214_gga(T7177, T7178, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178)))))
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197))))) → U215_gga(T7196, T7197, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216)))))) → U216_gga(T7215, T7216, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216)))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235))))))) → U217_gga(T7234, T7235, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254)))))))) → U218_gga(T7253, T7254, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254)))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261)))))))) → U219_gga(T7261, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261)))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, []))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, [])) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, []) → sum2047_out_gga(0, [], .(0, []))
U203_ggga(T154, T155, T156, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
U204_ggga(T5653, T5654, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
U205_ggga(T5889, T5890, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
U206_ggga(T6091, T6092, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
U207_ggga(T6293, T6294, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
U208_ggga(T6495, T6496, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
U209_ggga(T6697, T6698, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
U210_ggga(T6899, T6900, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U211_gga(T7120, T7121, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
U212_gga(T7139, T7140, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
U213_gga(T7158, T7159, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
U214_gga(T7177, T7178, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
U215_gga(T7196, T7197, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
U216_gga(T7215, T7216, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
U217_gga(T7234, T7235, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
U218_gga(T7253, T7254, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
U219_gga(T7261, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum47_in_gggga(s(T181), T182, T183, T184) → U1_gggga(T181, T182, T183, T184, sum47_in_gggga(T181, T182, T183, s(T184)))
sum47_in_gggga(0, T201, T202, T203) → U2_gggga(T201, T202, T203, sum55_in_ggga(T201, T202, T203))
sum1253_in_gga(s(T5665), T5666) → U93_gga(T5665, T5666, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0)))))))))
sum1253_in_gga(0, .(s(T5688), T5689)) → U94_gga(T5688, T5689, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689)))
sum1253_in_gga(0, .(0, .(s(T5711), T5712))) → U95_gga(T5711, T5712, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712))))
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735)))) → U96_gga(T5734, T5735, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735)))))
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758))))) → U97_gga(T5757, T5758, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))) → U98_gga(T5780, T5781, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))) → U99_gga(T5803, T5804, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))) → U100_gga(T5826, T5827, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))) → U101_gga(T5840, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, []))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, [])) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, []) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
sum1373_in_gga(s(T5901), T5902) → U104_gga(T5901, T5902, sum1253_in_gga(T5901, T5902))
sum1373_in_gga(0, .(s(T5920), T5921)) → U105_gga(T5920, T5921, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921)))
sum1373_in_gga(0, .(0, .(s(T5939), T5940))) → U106_gga(T5939, T5940, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940))))
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959)))) → U107_gga(T5958, T5959, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959)))))
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978))))) → U108_gga(T5977, T5978, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))) → U109_gga(T5996, T5997, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))) → U110_gga(T6015, T6016, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))) → U111_gga(T6034, T6035, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))) → U112_gga(T6042, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, []))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, [])) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, []) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
sum1485_in_gga(s(T6103), T6104) → U115_gga(T6103, T6104, sum1373_in_gga(T6103, T6104))
sum1485_in_gga(0, .(s(T6122), T6123)) → U116_gga(T6122, T6123, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123)))
sum1485_in_gga(0, .(0, .(s(T6141), T6142))) → U117_gga(T6141, T6142, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142))))
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161)))) → U118_gga(T6160, T6161, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161)))))
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180))))) → U119_gga(T6179, T6180, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))) → U120_gga(T6198, T6199, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))) → U121_gga(T6217, T6218, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))) → U122_gga(T6236, T6237, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))) → U123_gga(T6244, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, []))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, [])) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, []) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
sum1597_in_gga(s(T6305), T6306) → U126_gga(T6305, T6306, sum1485_in_gga(T6305, T6306))
sum1597_in_gga(0, .(s(T6324), T6325)) → U127_gga(T6324, T6325, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325)))
sum1597_in_gga(0, .(0, .(s(T6343), T6344))) → U128_gga(T6343, T6344, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344))))
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363)))) → U129_gga(T6362, T6363, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363)))))
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382))))) → U130_gga(T6381, T6382, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))) → U131_gga(T6400, T6401, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))) → U132_gga(T6419, T6420, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))) → U133_gga(T6438, T6439, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))) → U134_gga(T6446, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, []))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, [])) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, []) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
sum1709_in_gga(s(T6507), T6508) → U137_gga(T6507, T6508, sum1597_in_gga(T6507, T6508))
sum1709_in_gga(0, .(s(T6526), T6527)) → U138_gga(T6526, T6527, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527)))
sum1709_in_gga(0, .(0, .(s(T6545), T6546))) → U139_gga(T6545, T6546, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546))))
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565)))) → U140_gga(T6564, T6565, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565)))))
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584))))) → U141_gga(T6583, T6584, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))) → U142_gga(T6602, T6603, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))) → U143_gga(T6621, T6622, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))) → U144_gga(T6640, T6641, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))) → U145_gga(T6648, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, []))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, [])) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, []) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
sum1821_in_gga(s(T6709), T6710) → U148_gga(T6709, T6710, sum1709_in_gga(T6709, T6710))
sum1821_in_gga(0, .(s(T6728), T6729)) → U149_gga(T6728, T6729, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729)))
sum1821_in_gga(0, .(0, .(s(T6747), T6748))) → U150_gga(T6747, T6748, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748))))
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767)))) → U151_gga(T6766, T6767, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767)))))
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786))))) → U152_gga(T6785, T6786, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))) → U153_gga(T6804, T6805, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))) → U154_gga(T6823, T6824, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))) → U155_gga(T6842, T6843, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))) → U156_gga(T6850, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, []))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, [])) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, []) → sum1821_out_gga(0, [], .(s(s(0)), []))
sum1933_in_gga(s(T6911), T6912) → U159_gga(T6911, T6912, sum1821_in_gga(T6911, T6912))
sum1933_in_gga(0, .(s(T6930), T6931)) → U160_gga(T6930, T6931, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931)))
sum1933_in_gga(0, .(0, .(s(T6949), T6950))) → U161_gga(T6949, T6950, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950))))
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969)))) → U162_gga(T6968, T6969, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969)))))
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988))))) → U163_gga(T6987, T6988, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))) → U164_gga(T7006, T7007, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))) → U165_gga(T7025, T7026, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))) → U166_gga(T7044, T7045, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))) → U167_gga(T7052, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, []))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, [])) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, []) → sum1933_out_gga(0, [], .(s(0), []))
sum2007_in_gga(.(s(T7071), T7072), T7073) → U157_gga(T7071, T7072, T7073, sum1895_in_gga(.(T7071, T7072), T7073))
sum2007_in_gga(.(0, T7085), T7086) → U158_gga(T7085, T7086, sum2007_in_gga(T7085, T7086))
sum2121_in_gga(.(s(T7280), T7281), T7282) → U168_gga(T7280, T7281, T7282, sum2007_in_gga(.(T7280, T7281), T7282))
sum2121_in_gga(.(0, T7294), T7295) → U169_gga(T7294, T7295, sum2121_in_gga(T7294, T7295))
sum2121_in_gga([], T7301) → sum2121_out_gga([], T7301, .(0, T7301))
U1_gggga(T181, T182, T183, T184, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U2_gggga(T201, T202, T203, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U93_gga(T5665, T5666, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
U94_gga(T5688, T5689, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
U95_gga(T5711, T5712, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
U96_gga(T5734, T5735, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
U97_gga(T5757, T5758, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
U98_gga(T5780, T5781, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
U99_gga(T5803, T5804, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
U100_gga(T5826, T5827, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
U101_gga(T5840, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
U104_gga(T5901, T5902, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
U105_gga(T5920, T5921, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
U106_gga(T5939, T5940, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
U107_gga(T5958, T5959, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
U108_gga(T5977, T5978, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
U109_gga(T5996, T5997, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
U110_gga(T6015, T6016, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
U111_gga(T6034, T6035, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
U112_gga(T6042, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
U115_gga(T6103, T6104, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
U116_gga(T6122, T6123, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
U117_gga(T6141, T6142, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
U118_gga(T6160, T6161, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
U119_gga(T6179, T6180, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
U120_gga(T6198, T6199, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
U121_gga(T6217, T6218, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
U122_gga(T6236, T6237, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
U123_gga(T6244, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
U126_gga(T6305, T6306, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
U127_gga(T6324, T6325, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
U128_gga(T6343, T6344, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
U129_gga(T6362, T6363, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
U130_gga(T6381, T6382, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
U131_gga(T6400, T6401, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
U132_gga(T6419, T6420, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
U133_gga(T6438, T6439, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
U134_gga(T6446, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
U137_gga(T6507, T6508, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
U138_gga(T6526, T6527, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
U139_gga(T6545, T6546, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
U140_gga(T6564, T6565, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
U141_gga(T6583, T6584, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
U142_gga(T6602, T6603, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
U143_gga(T6621, T6622, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
U144_gga(T6640, T6641, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
U145_gga(T6648, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
U148_gga(T6709, T6710, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
U149_gga(T6728, T6729, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
U150_gga(T6747, T6748, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
U151_gga(T6766, T6767, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
U152_gga(T6785, T6786, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
U153_gga(T6804, T6805, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
U154_gga(T6823, T6824, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
U155_gga(T6842, T6843, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
U156_gga(T6850, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
U159_gga(T6911, T6912, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
U160_gga(T6930, T6931, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
U161_gga(T6949, T6950, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
U162_gga(T6968, T6969, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
U163_gga(T6987, T6988, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
U164_gga(T7006, T7007, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
U165_gga(T7025, T7026, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
U166_gga(T7044, T7045, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
U167_gga(T7052, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
U157_gga(T7071, T7072, T7073, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
U158_gga(T7085, T7086, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U168_gga(T7280, T7281, T7282, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
U169_gga(T7294, T7295, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
sum55_in_ggga(s(T219), T220, T221) → U3_ggga(T219, T220, T221, sum55_in_ggga(T219, T220, s(T221)))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360) → U4_ggga(T358, T359, T360, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115) → U5_ggga(T4113, T4114, T4115, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146) → U6_ggga(T4144, T4145, T4146, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145)))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177) → U7_ggga(T4175, T4176, T4177, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208) → U8_ggga(T4206, T4207, T4208, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207)))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239) → U9_ggga(T4237, T4238, T4239, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270) → U10_ggga(T4268, T4269, T4270, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283) → U11_ggga(T4282, T4283, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337) → U12_ggga(T4335, T4336, T4337, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368) → U13_ggga(T4366, T4367, T4368, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367)))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399) → U14_ggga(T4397, T4398, T4399, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430) → U15_ggga(T4428, T4429, T4430, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429)))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461) → U16_ggga(T4459, T4460, T4461, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492) → U17_ggga(T4490, T4491, T4492, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505) → U18_ggga(T4504, T4505, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559) → U19_ggga(T4557, T4558, T4559, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590) → U20_ggga(T4588, T4589, T4590, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589)))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621) → U21_ggga(T4619, T4620, T4621, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652) → U22_ggga(T4650, T4651, T4652, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651)))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683) → U23_ggga(T4681, T4682, T4683, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714) → U24_ggga(T4712, T4713, T4714, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727) → U25_ggga(T4726, T4727, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781) → U26_ggga(T4779, T4780, T4781, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812) → U27_ggga(T4810, T4811, T4812, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811)))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843) → U28_ggga(T4841, T4842, T4843, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874) → U29_ggga(T4872, T4873, T4874, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873)))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905) → U30_ggga(T4903, T4904, T4905, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936) → U31_ggga(T4934, T4935, T4936, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949) → U32_ggga(T4948, T4949, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003) → U33_ggga(T5001, T5002, T5003, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034) → U34_ggga(T5032, T5033, T5034, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033)))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065) → U35_ggga(T5063, T5064, T5065, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096) → U36_ggga(T5094, T5095, T5096, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095)))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127) → U37_ggga(T5125, T5126, T5127, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158) → U38_ggga(T5156, T5157, T5158, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171) → U39_ggga(T5170, T5171, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225) → U40_ggga(T5223, T5224, T5225, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224))))
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256) → U41_ggga(T5254, T5255, T5256, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255)))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287) → U42_ggga(T5285, T5286, T5287, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318) → U43_ggga(T5316, T5317, T5318, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317)))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349) → U44_ggga(T5347, T5348, T5349, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380) → U45_ggga(T5378, T5379, T5380, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393) → U46_ggga(T5392, T5393, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447) → U47_ggga(T5445, T5446, T5447, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446))))
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478) → U48_ggga(T5476, T5477, T5478, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477)))))
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509) → U49_ggga(T5507, T5508, T5509, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540) → U50_ggga(T5538, T5539, T5540, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539)))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571) → U51_ggga(T5569, T5570, T5571, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602) → U52_ggga(T5600, T5601, T5602, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615) → U53_ggga(T5614, T5615, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466) → U89_ggga(T2463, T2464, T2465, T2466, sum377_in_gggga(T2463, T2464, s(T2465), T2466))
sum385_in_ggga(.(0, T2483), T2484, T2485) → U90_ggga(T2483, T2484, T2485, sum385_in_ggga(T2483, T2484, T2485))
sum1335_in_gga(.(s(T5859), T5860), T5861) → U91_gga(T5859, T5860, T5861, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861))
sum1335_in_gga(.(0, T5873), T5874) → U92_gga(T5873, T5874, sum1335_in_gga(T5873, T5874))
sum1335_in_gga([], T5880) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
sum1447_in_gga(.(s(T6061), T6062), T6063) → U102_gga(T6061, T6062, T6063, sum1335_in_gga(.(T6061, T6062), T6063))
sum1447_in_gga(.(0, T6075), T6076) → U103_gga(T6075, T6076, sum1447_in_gga(T6075, T6076))
sum1447_in_gga([], T6082) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
sum1559_in_gga(.(s(T6263), T6264), T6265) → U113_gga(T6263, T6264, T6265, sum1447_in_gga(.(T6263, T6264), T6265))
sum1559_in_gga(.(0, T6277), T6278) → U114_gga(T6277, T6278, sum1559_in_gga(T6277, T6278))
sum1559_in_gga([], T6284) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
sum1671_in_gga(.(s(T6465), T6466), T6467) → U124_gga(T6465, T6466, T6467, sum1559_in_gga(.(T6465, T6466), T6467))
sum1671_in_gga(.(0, T6479), T6480) → U125_gga(T6479, T6480, sum1671_in_gga(T6479, T6480))
sum1671_in_gga([], T6486) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
sum1783_in_gga(.(s(T6667), T6668), T6669) → U135_gga(T6667, T6668, T6669, sum1671_in_gga(.(T6667, T6668), T6669))
sum1783_in_gga(.(0, T6681), T6682) → U136_gga(T6681, T6682, sum1783_in_gga(T6681, T6682))
sum1783_in_gga([], T6688) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
sum1895_in_gga(.(s(T6869), T6870), T6871) → U146_gga(T6869, T6870, T6871, sum1783_in_gga(.(T6869, T6870), T6871))
sum1895_in_gga(.(0, T6883), T6884) → U147_gga(T6883, T6884, sum1895_in_gga(T6883, T6884))
sum1895_in_gga([], T6890) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
sum2007_in_gga([], T7092) → sum2007_out_gga([], T7092, .(s(0), T7092))
U3_ggga(T219, T220, T221, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U4_ggga(T358, T359, T360, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
U5_ggga(T4113, T4114, T4115, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
U6_ggga(T4144, T4145, T4146, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
U7_ggga(T4175, T4176, T4177, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
U8_ggga(T4206, T4207, T4208, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
U9_ggga(T4237, T4238, T4239, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
U10_ggga(T4268, T4269, T4270, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
U11_ggga(T4282, T4283, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
U12_ggga(T4335, T4336, T4337, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
U13_ggga(T4366, T4367, T4368, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
U14_ggga(T4397, T4398, T4399, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
U15_ggga(T4428, T4429, T4430, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
U16_ggga(T4459, T4460, T4461, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
U17_ggga(T4490, T4491, T4492, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
U18_ggga(T4504, T4505, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
U19_ggga(T4557, T4558, T4559, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
U20_ggga(T4588, T4589, T4590, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
U21_ggga(T4619, T4620, T4621, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
U22_ggga(T4650, T4651, T4652, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
U23_ggga(T4681, T4682, T4683, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
U24_ggga(T4712, T4713, T4714, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
U25_ggga(T4726, T4727, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
U26_ggga(T4779, T4780, T4781, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
U27_ggga(T4810, T4811, T4812, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
U28_ggga(T4841, T4842, T4843, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
U29_ggga(T4872, T4873, T4874, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
U30_ggga(T4903, T4904, T4905, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
U31_ggga(T4934, T4935, T4936, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
U32_ggga(T4948, T4949, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
U33_ggga(T5001, T5002, T5003, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
U34_ggga(T5032, T5033, T5034, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
U35_ggga(T5063, T5064, T5065, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
U36_ggga(T5094, T5095, T5096, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
U37_ggga(T5125, T5126, T5127, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
U38_ggga(T5156, T5157, T5158, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
U39_ggga(T5170, T5171, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
U40_ggga(T5223, T5224, T5225, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
U41_ggga(T5254, T5255, T5256, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
U42_ggga(T5285, T5286, T5287, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
U43_ggga(T5316, T5317, T5318, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
U44_ggga(T5347, T5348, T5349, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
U45_ggga(T5378, T5379, T5380, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
U46_ggga(T5392, T5393, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
U47_ggga(T5445, T5446, T5447, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
U48_ggga(T5476, T5477, T5478, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
U49_ggga(T5507, T5508, T5509, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
U50_ggga(T5538, T5539, T5540, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
U51_ggga(T5569, T5570, T5571, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
U52_ggga(T5600, T5601, T5602, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
U53_ggga(T5614, T5615, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
U89_ggga(T2463, T2464, T2465, T2466, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
U90_ggga(T2483, T2484, T2485, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U91_gga(T5859, T5860, T5861, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
U92_gga(T5873, T5874, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U102_gga(T6061, T6062, T6063, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
U103_gga(T6075, T6076, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U113_gga(T6263, T6264, T6265, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
U114_gga(T6277, T6278, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U124_gga(T6465, T6466, T6467, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
U125_gga(T6479, T6480, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U135_gga(T6667, T6668, T6669, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
U136_gga(T6681, T6682, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U146_gga(T6869, T6870, T6871, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
U147_gga(T6883, T6884, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
sum101_in_ggga(s(T380), T381, T382) → U170_ggga(T380, T381, T382, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380)))))))))
sum101_in_ggga(0, .(s(T3891), T3892), T3893) → U171_ggga(T3891, T3892, T3893, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892))))
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924) → U172_ggga(T3922, T3923, T3924, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923)))))
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955) → U173_ggga(T3953, T3954, T3955, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986) → U174_ggga(T3984, T3985, T3986, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985)))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017) → U175_ggga(T4015, T4016, T4017, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048) → U176_ggga(T4046, T4047, T4048, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061) → U177_ggga(T4060, T4061, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
sum385_in_ggga([], T2494, T2495) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
sum377_in_gggga(s(T2420), T2421, T2422, T2423) → U87_gggga(T2420, T2421, T2422, T2423, sum377_in_gggga(T2420, T2421, s(T2422), T2423))
sum377_in_gggga(0, T2440, T2441, T2442) → U88_gggga(T2440, T2441, T2442, sum385_in_ggga(T2440, T2441, T2442))
U170_ggga(T380, T381, T382, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
U171_ggga(T3891, T3892, T3893, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
U172_ggga(T3922, T3923, T3924, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
U173_ggga(T3953, T3954, T3955, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
U174_ggga(T3984, T3985, T3986, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
U175_ggga(T4015, T4016, T4017, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
U176_ggga(T4046, T4047, T4048, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
U177_ggga(T4060, T4061, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
U87_gggga(T2420, T2421, T2422, T2423, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U88_gggga(T2440, T2441, T2442, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
sum107_in_gggga(s(T407), T408, T409, T410) → U54_gggga(T407, T408, T409, T410, sum107_in_gggga(T407, T408, s(T409), T410))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573) → U55_gggga(T570, T571, T572, T573, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573))
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760) → U56_gggga(T3758, T3759, T3760, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758))))
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779) → U57_gggga(T3777, T3778, T3779, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777))))
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798) → U58_gggga(T3796, T3797, T3798, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796))))
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817) → U59_gggga(T3815, T3816, T3817, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815))))
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836) → U60_gggga(T3834, T3835, T3836, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834))))
sum107_in_gggga(0, .(0, T3853), T3854, T3855) → U61_gggga(T3853, T3854, T3855, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853))))
sum107_in_gggga(0, [], T3864, T3865) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U55_gggga(T570, T571, T572, T573, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
U56_gggga(T3758, T3759, T3760, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
U57_gggga(T3777, T3778, T3779, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
U58_gggga(T3796, T3797, T3798, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
U59_gggga(T3815, T3816, T3817, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
U60_gggga(T3834, T3835, T3836, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
U61_gggga(T3853, T3854, T3855, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum147_in_gggga(s(s(T623)), T624, T625, T626) → U178_gggga(T623, T624, T625, T626, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623)))))))))
sum147_in_gggga(s(0), T3720, T3721, T3722) → U179_gggga(T3720, T3721, T3722, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720))))
sum147_in_gggga(0, T3739, T3740, T3741) → U180_gggga(T3739, T3740, T3741, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739))))
U178_gggga(T623, T624, T625, T626, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
U179_gggga(T3720, T3721, T3722, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
U180_gggga(T3739, T3740, T3741, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
sum158_in_ggggga(s(T657), T658, T659, T660, T661) → U62_ggggga(T657, T658, T659, T660, T661, sum158_in_ggggga(T657, T658, s(T659), T660, T661))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836) → U63_ggggga(T832, T833, T834, T835, T836, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836))
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593) → U64_ggggga(T3590, T3591, T3592, T3593, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590)))))
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618) → U65_ggggga(T3615, T3616, T3617, T3618, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615)))))
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643) → U66_ggggga(T3640, T3641, T3642, T3643, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640)))))
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668) → U67_ggggga(T3665, T3666, T3667, T3668, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665)))))
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693) → U68_ggggga(T3690, T3691, T3692, T3693, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690)))))
sum158_in_ggggga(0, [], T3705, T3706, T3707) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U63_ggggga(T832, T833, T834, T835, T836, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
U64_ggggga(T3590, T3591, T3592, T3593, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
U65_ggggga(T3615, T3616, T3617, T3618, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
U66_ggggga(T3640, T3641, T3642, T3643, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
U67_ggggga(T3665, T3666, T3667, T3668, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
U68_ggggga(T3690, T3691, T3692, T3693, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932) → U181_ggggga(T928, T929, T930, T931, T932, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928)))))))))
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518) → U182_ggggga(T3515, T3516, T3517, T3518, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515)))))
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543) → U183_ggggga(T3540, T3541, T3542, T3543, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540)))))
sum193_in_ggggga(0, T3565, T3566, T3567, T3568) → U184_ggggga(T3565, T3566, T3567, T3568, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565)))))
U181_ggggga(T928, T929, T930, T931, T932, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
U182_ggggga(T3515, T3516, T3517, T3518, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
U183_ggggga(T3540, T3541, T3542, T3543, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
U184_ggggga(T3565, T3566, T3567, T3568, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974) → U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149))
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383))))))
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414))))))
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445))))))
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476))))))
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295)))))))))
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259))))))
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290))))))
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321))))))
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352))))))
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512))
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137)))))))
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174)))))))
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211)))))))
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724)))))))))
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952)))))))
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989)))))))
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026)))))))
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063)))))))
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100)))))))
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925))
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852))))))))
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895))))))))
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215)))))))))
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594))))))))
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637))))))))
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680))))))))
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723))))))))
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766))))))))
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809))))))))
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381)))))))))
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528)))))))))
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)

The set Q consists of the following terms:

sum10_in_ggga(x0, x1, x2)
sum2047_in_gga(x0, x1)
U203_ggga(x0, x1, x2, x3)
U204_ggga(x0, x1, x2)
U205_ggga(x0, x1, x2)
U206_ggga(x0, x1, x2)
U207_ggga(x0, x1, x2)
U208_ggga(x0, x1, x2)
U209_ggga(x0, x1, x2)
U210_ggga(x0, x1, x2)
U211_gga(x0, x1, x2)
U212_gga(x0, x1, x2)
U213_gga(x0, x1, x2)
U214_gga(x0, x1, x2)
U215_gga(x0, x1, x2)
U216_gga(x0, x1, x2)
U217_gga(x0, x1, x2)
U218_gga(x0, x1, x2)
U219_gga(x0, x1)
sum47_in_gggga(x0, x1, x2, x3)
sum1253_in_gga(x0, x1)
sum1373_in_gga(x0, x1)
sum1485_in_gga(x0, x1)
sum1597_in_gga(x0, x1)
sum1709_in_gga(x0, x1)
sum1821_in_gga(x0, x1)
sum1933_in_gga(x0, x1)
sum2007_in_gga(x0, x1)
sum2121_in_gga(x0, x1)
U1_gggga(x0, x1, x2, x3, x4)
U2_gggga(x0, x1, x2, x3)
U93_gga(x0, x1, x2)
U94_gga(x0, x1, x2)
U95_gga(x0, x1, x2)
U96_gga(x0, x1, x2)
U97_gga(x0, x1, x2)
U98_gga(x0, x1, x2)
U99_gga(x0, x1, x2)
U100_gga(x0, x1, x2)
U101_gga(x0, x1)
U104_gga(x0, x1, x2)
U105_gga(x0, x1, x2)
U106_gga(x0, x1, x2)
U107_gga(x0, x1, x2)
U108_gga(x0, x1, x2)
U109_gga(x0, x1, x2)
U110_gga(x0, x1, x2)
U111_gga(x0, x1, x2)
U112_gga(x0, x1)
U115_gga(x0, x1, x2)
U116_gga(x0, x1, x2)
U117_gga(x0, x1, x2)
U118_gga(x0, x1, x2)
U119_gga(x0, x1, x2)
U120_gga(x0, x1, x2)
U121_gga(x0, x1, x2)
U122_gga(x0, x1, x2)
U123_gga(x0, x1)
U126_gga(x0, x1, x2)
U127_gga(x0, x1, x2)
U128_gga(x0, x1, x2)
U129_gga(x0, x1, x2)
U130_gga(x0, x1, x2)
U131_gga(x0, x1, x2)
U132_gga(x0, x1, x2)
U133_gga(x0, x1, x2)
U134_gga(x0, x1)
U137_gga(x0, x1, x2)
U138_gga(x0, x1, x2)
U139_gga(x0, x1, x2)
U140_gga(x0, x1, x2)
U141_gga(x0, x1, x2)
U142_gga(x0, x1, x2)
U143_gga(x0, x1, x2)
U144_gga(x0, x1, x2)
U145_gga(x0, x1)
U148_gga(x0, x1, x2)
U149_gga(x0, x1, x2)
U150_gga(x0, x1, x2)
U151_gga(x0, x1, x2)
U152_gga(x0, x1, x2)
U153_gga(x0, x1, x2)
U154_gga(x0, x1, x2)
U155_gga(x0, x1, x2)
U156_gga(x0, x1)
U159_gga(x0, x1, x2)
U160_gga(x0, x1, x2)
U161_gga(x0, x1, x2)
U162_gga(x0, x1, x2)
U163_gga(x0, x1, x2)
U164_gga(x0, x1, x2)
U165_gga(x0, x1, x2)
U166_gga(x0, x1, x2)
U167_gga(x0, x1)
U157_gga(x0, x1, x2, x3)
U158_gga(x0, x1, x2)
U168_gga(x0, x1, x2, x3)
U169_gga(x0, x1, x2)
sum55_in_ggga(x0, x1, x2)
sum385_in_ggga(x0, x1, x2)
sum1335_in_gga(x0, x1)
sum1447_in_gga(x0, x1)
sum1559_in_gga(x0, x1)
sum1671_in_gga(x0, x1)
sum1783_in_gga(x0, x1)
sum1895_in_gga(x0, x1)
U3_ggga(x0, x1, x2, x3)
U4_ggga(x0, x1, x2, x3)
U5_ggga(x0, x1, x2, x3)
U6_ggga(x0, x1, x2, x3)
U7_ggga(x0, x1, x2, x3)
U8_ggga(x0, x1, x2, x3)
U9_ggga(x0, x1, x2, x3)
U10_ggga(x0, x1, x2, x3)
U11_ggga(x0, x1, x2)
U12_ggga(x0, x1, x2, x3)
U13_ggga(x0, x1, x2, x3)
U14_ggga(x0, x1, x2, x3)
U15_ggga(x0, x1, x2, x3)
U16_ggga(x0, x1, x2, x3)
U17_ggga(x0, x1, x2, x3)
U18_ggga(x0, x1, x2)
U19_ggga(x0, x1, x2, x3)
U20_ggga(x0, x1, x2, x3)
U21_ggga(x0, x1, x2, x3)
U22_ggga(x0, x1, x2, x3)
U23_ggga(x0, x1, x2, x3)
U24_ggga(x0, x1, x2, x3)
U25_ggga(x0, x1, x2)
U26_ggga(x0, x1, x2, x3)
U27_ggga(x0, x1, x2, x3)
U28_ggga(x0, x1, x2, x3)
U29_ggga(x0, x1, x2, x3)
U30_ggga(x0, x1, x2, x3)
U31_ggga(x0, x1, x2, x3)
U32_ggga(x0, x1, x2)
U33_ggga(x0, x1, x2, x3)
U34_ggga(x0, x1, x2, x3)
U35_ggga(x0, x1, x2, x3)
U36_ggga(x0, x1, x2, x3)
U37_ggga(x0, x1, x2, x3)
U38_ggga(x0, x1, x2, x3)
U39_ggga(x0, x1, x2)
U40_ggga(x0, x1, x2, x3)
U41_ggga(x0, x1, x2, x3)
U42_ggga(x0, x1, x2, x3)
U43_ggga(x0, x1, x2, x3)
U44_ggga(x0, x1, x2, x3)
U45_ggga(x0, x1, x2, x3)
U46_ggga(x0, x1, x2)
U47_ggga(x0, x1, x2, x3)
U48_ggga(x0, x1, x2, x3)
U49_ggga(x0, x1, x2, x3)
U50_ggga(x0, x1, x2, x3)
U51_ggga(x0, x1, x2, x3)
U52_ggga(x0, x1, x2, x3)
U53_ggga(x0, x1, x2)
U89_ggga(x0, x1, x2, x3, x4)
U90_ggga(x0, x1, x2, x3)
U91_gga(x0, x1, x2, x3)
U92_gga(x0, x1, x2)
U102_gga(x0, x1, x2, x3)
U103_gga(x0, x1, x2)
U113_gga(x0, x1, x2, x3)
U114_gga(x0, x1, x2)
U124_gga(x0, x1, x2, x3)
U125_gga(x0, x1, x2)
U135_gga(x0, x1, x2, x3)
U136_gga(x0, x1, x2)
U146_gga(x0, x1, x2, x3)
U147_gga(x0, x1, x2)
sum101_in_ggga(x0, x1, x2)
sum377_in_gggga(x0, x1, x2, x3)
U170_ggga(x0, x1, x2, x3)
U171_ggga(x0, x1, x2, x3)
U172_ggga(x0, x1, x2, x3)
U173_ggga(x0, x1, x2, x3)
U174_ggga(x0, x1, x2, x3)
U175_ggga(x0, x1, x2, x3)
U176_ggga(x0, x1, x2, x3)
U177_ggga(x0, x1, x2)
U87_gggga(x0, x1, x2, x3, x4)
U88_gggga(x0, x1, x2, x3)
sum107_in_gggga(x0, x1, x2, x3)
U54_gggga(x0, x1, x2, x3, x4)
U55_gggga(x0, x1, x2, x3, x4)
U56_gggga(x0, x1, x2, x3)
U57_gggga(x0, x1, x2, x3)
U58_gggga(x0, x1, x2, x3)
U59_gggga(x0, x1, x2, x3)
U60_gggga(x0, x1, x2, x3)
U61_gggga(x0, x1, x2, x3)
sum147_in_gggga(x0, x1, x2, x3)
U178_gggga(x0, x1, x2, x3, x4)
U179_gggga(x0, x1, x2, x3)
U180_gggga(x0, x1, x2, x3)
sum158_in_ggggga(x0, x1, x2, x3, x4)
U62_ggggga(x0, x1, x2, x3, x4, x5)
U63_ggggga(x0, x1, x2, x3, x4, x5)
U64_ggggga(x0, x1, x2, x3, x4)
U65_ggggga(x0, x1, x2, x3, x4)
U66_ggggga(x0, x1, x2, x3, x4)
U67_ggggga(x0, x1, x2, x3, x4)
U68_ggggga(x0, x1, x2, x3, x4)
sum193_in_ggggga(x0, x1, x2, x3, x4)
U181_ggggga(x0, x1, x2, x3, x4, x5)
U182_ggggga(x0, x1, x2, x3, x4)
U183_ggggga(x0, x1, x2, x3, x4)
U184_ggggga(x0, x1, x2, x3, x4)
sum209_in_gggggga(x0, x1, x2, x3, x4, x5)
U69_gggggga(x0, x1, x2, x3, x4, x5, x6)
U70_gggggga(x0, x1, x2, x3, x4, x5, x6)
U71_gggggga(x0, x1, x2, x3, x4, x5)
U72_gggggga(x0, x1, x2, x3, x4, x5)
U73_gggggga(x0, x1, x2, x3, x4, x5)
U74_gggggga(x0, x1, x2, x3, x4, x5)
sum239_in_gggggga(x0, x1, x2, x3, x4, x5)
U185_gggggga(x0, x1, x2, x3, x4, x5, x6)
U186_gggggga(x0, x1, x2, x3, x4, x5)
U187_gggggga(x0, x1, x2, x3, x4, x5)
U188_gggggga(x0, x1, x2, x3, x4, x5)
U189_gggggga(x0, x1, x2, x3, x4, x5)
sum260_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U75_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U76_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U77_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U78_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U79_ggggggga(x0, x1, x2, x3, x4, x5, x6)
sum285_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U190_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U191_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U192_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U193_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U194_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U195_ggggggga(x0, x1, x2, x3, x4, x5, x6)
sum311_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U80_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U81_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U82_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U83_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
sum331_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U196_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U197_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U198_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U199_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U200_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U201_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U202_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
sum362_in_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U84_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U85_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U86_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)

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

(265) DependencyGraphProof (EQUIVALENT transformation)

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

(266) Obligation:

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

U221_GA(T24, T25, T26, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30)
WEIGHT1_IN_GA(.(s(T24), .(T25, T26))) → U221_GA(T24, T25, T26, sum10_in_ggga(T24, T25, T26))

The TRS R consists of the following rules:

sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156) → U203_ggga(T154, T155, T156, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0)))))))))
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654) → U204_ggga(T5653, T5654, sum1253_in_gga(T5653, T5654))
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890) → U205_ggga(T5889, T5890, sum1373_in_gga(T5889, T5890))
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092) → U206_ggga(T6091, T6092, sum1485_in_gga(T6091, T6092))
sum10_in_ggga(s(s(s(0))), T6293, T6294) → U207_ggga(T6293, T6294, sum1597_in_gga(T6293, T6294))
sum10_in_ggga(s(s(0)), T6495, T6496) → U208_ggga(T6495, T6496, sum1709_in_gga(T6495, T6496))
sum10_in_ggga(s(0), T6697, T6698) → U209_ggga(T6697, T6698, sum1821_in_gga(T6697, T6698))
sum10_in_ggga(0, T6899, T6900) → U210_ggga(T6899, T6900, sum1933_in_gga(T6899, T6900))
sum2047_in_gga(s(T7120), T7121) → U211_gga(T7120, T7121, sum1933_in_gga(T7120, T7121))
sum2047_in_gga(0, .(s(T7139), T7140)) → U212_gga(T7139, T7140, sum2007_in_gga(.(T7139, T7140), .(s(T7139), T7140)))
sum2047_in_gga(0, .(0, .(s(T7158), T7159))) → U213_gga(T7158, T7159, sum2007_in_gga(.(T7158, T7159), .(0, .(s(T7158), T7159))))
sum2047_in_gga(0, .(0, .(0, .(s(T7177), T7178)))) → U214_gga(T7177, T7178, sum2007_in_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178)))))
sum2047_in_gga(0, .(0, .(0, .(0, .(s(T7196), T7197))))) → U215_gga(T7196, T7197, sum2007_in_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216)))))) → U216_gga(T7215, T7216, sum2007_in_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216)))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235))))))) → U217_gga(T7234, T7235, sum2007_in_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254)))))))) → U218_gga(T7253, T7254, sum2007_in_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254)))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261)))))))) → U219_gga(T7261, sum2121_in_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261)))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(0, .(0, .(0, .(0, .(0, .(0, [])))))))
sum2047_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(0, .(0, .(0, .(0, .(0, []))))))
sum2047_in_gga(0, .(0, .(0, .(0, [])))) → sum2047_out_gga(0, .(0, .(0, .(0, []))), .(0, .(0, .(0, .(0, [])))))
sum2047_in_gga(0, .(0, .(0, []))) → sum2047_out_gga(0, .(0, .(0, [])), .(0, .(0, .(0, []))))
sum2047_in_gga(0, .(0, [])) → sum2047_out_gga(0, .(0, []), .(0, .(0, [])))
sum2047_in_gga(0, []) → sum2047_out_gga(0, [], .(0, []))
U203_ggga(T154, T155, T156, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
U204_ggga(T5653, T5654, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
U205_ggga(T5889, T5890, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
U206_ggga(T6091, T6092, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
U207_ggga(T6293, T6294, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
U208_ggga(T6495, T6496, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
U209_ggga(T6697, T6698, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
U210_ggga(T6899, T6900, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
U211_gga(T7120, T7121, sum1933_out_gga(T7120, T7121, X13255)) → sum2047_out_gga(s(T7120), T7121, X13255)
U212_gga(T7139, T7140, sum2007_out_gga(.(T7139, T7140), .(s(T7139), T7140), X13325)) → sum2047_out_gga(0, .(s(T7139), T7140), X13325)
U213_gga(T7158, T7159, sum2007_out_gga(.(T7158, T7159), .(0, .(s(T7158), T7159)), X13395)) → sum2047_out_gga(0, .(0, .(s(T7158), T7159)), X13395)
U214_gga(T7177, T7178, sum2007_out_gga(.(T7177, T7178), .(0, .(0, .(s(T7177), T7178))), X13465)) → sum2047_out_gga(0, .(0, .(0, .(s(T7177), T7178))), X13465)
U215_gga(T7196, T7197, sum2007_out_gga(.(T7196, T7197), .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)) → sum2047_out_gga(0, .(0, .(0, .(0, .(s(T7196), T7197)))), X13535)
U216_gga(T7215, T7216, sum2007_out_gga(.(T7215, T7216), .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7215), T7216))))), X13605)
U217_gga(T7234, T7235, sum2007_out_gga(.(T7234, T7235), .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7234), T7235)))))), X13675)
U218_gga(T7253, T7254, sum2007_out_gga(.(T7253, T7254), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7253), T7254))))))), X13745)
U219_gga(T7261, sum2121_out_gga(T7261, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)) → sum2047_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7261))))))), X13776)
sum47_in_gggga(s(T181), T182, T183, T184) → U1_gggga(T181, T182, T183, T184, sum47_in_gggga(T181, T182, T183, s(T184)))
sum47_in_gggga(0, T201, T202, T203) → U2_gggga(T201, T202, T203, sum55_in_ggga(T201, T202, T203))
sum1253_in_gga(s(T5665), T5666) → U93_gga(T5665, T5666, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0)))))))))
sum1253_in_gga(0, .(s(T5688), T5689)) → U94_gga(T5688, T5689, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689)))
sum1253_in_gga(0, .(0, .(s(T5711), T5712))) → U95_gga(T5711, T5712, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712))))
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735)))) → U96_gga(T5734, T5735, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735)))))
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758))))) → U97_gga(T5757, T5758, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))) → U98_gga(T5780, T5781, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))) → U99_gga(T5803, T5804, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))) → U100_gga(T5826, T5827, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))) → U101_gga(T5840, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, []))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, [])) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, []) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
sum1373_in_gga(s(T5901), T5902) → U104_gga(T5901, T5902, sum1253_in_gga(T5901, T5902))
sum1373_in_gga(0, .(s(T5920), T5921)) → U105_gga(T5920, T5921, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921)))
sum1373_in_gga(0, .(0, .(s(T5939), T5940))) → U106_gga(T5939, T5940, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940))))
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959)))) → U107_gga(T5958, T5959, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959)))))
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978))))) → U108_gga(T5977, T5978, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))) → U109_gga(T5996, T5997, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))) → U110_gga(T6015, T6016, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))) → U111_gga(T6034, T6035, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))) → U112_gga(T6042, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, []))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, [])) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, []) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
sum1485_in_gga(s(T6103), T6104) → U115_gga(T6103, T6104, sum1373_in_gga(T6103, T6104))
sum1485_in_gga(0, .(s(T6122), T6123)) → U116_gga(T6122, T6123, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123)))
sum1485_in_gga(0, .(0, .(s(T6141), T6142))) → U117_gga(T6141, T6142, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142))))
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161)))) → U118_gga(T6160, T6161, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161)))))
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180))))) → U119_gga(T6179, T6180, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))) → U120_gga(T6198, T6199, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))) → U121_gga(T6217, T6218, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))) → U122_gga(T6236, T6237, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))) → U123_gga(T6244, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, []))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, [])) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, []) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
sum1597_in_gga(s(T6305), T6306) → U126_gga(T6305, T6306, sum1485_in_gga(T6305, T6306))
sum1597_in_gga(0, .(s(T6324), T6325)) → U127_gga(T6324, T6325, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325)))
sum1597_in_gga(0, .(0, .(s(T6343), T6344))) → U128_gga(T6343, T6344, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344))))
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363)))) → U129_gga(T6362, T6363, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363)))))
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382))))) → U130_gga(T6381, T6382, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))) → U131_gga(T6400, T6401, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))) → U132_gga(T6419, T6420, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))) → U133_gga(T6438, T6439, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))) → U134_gga(T6446, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, []))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, [])) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, []) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
sum1709_in_gga(s(T6507), T6508) → U137_gga(T6507, T6508, sum1597_in_gga(T6507, T6508))
sum1709_in_gga(0, .(s(T6526), T6527)) → U138_gga(T6526, T6527, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527)))
sum1709_in_gga(0, .(0, .(s(T6545), T6546))) → U139_gga(T6545, T6546, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546))))
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565)))) → U140_gga(T6564, T6565, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565)))))
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584))))) → U141_gga(T6583, T6584, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))) → U142_gga(T6602, T6603, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))) → U143_gga(T6621, T6622, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))) → U144_gga(T6640, T6641, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))) → U145_gga(T6648, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, []))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, [])) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, []) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
sum1821_in_gga(s(T6709), T6710) → U148_gga(T6709, T6710, sum1709_in_gga(T6709, T6710))
sum1821_in_gga(0, .(s(T6728), T6729)) → U149_gga(T6728, T6729, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729)))
sum1821_in_gga(0, .(0, .(s(T6747), T6748))) → U150_gga(T6747, T6748, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748))))
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767)))) → U151_gga(T6766, T6767, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767)))))
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786))))) → U152_gga(T6785, T6786, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))) → U153_gga(T6804, T6805, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))) → U154_gga(T6823, T6824, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))) → U155_gga(T6842, T6843, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))) → U156_gga(T6850, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, []))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, [])) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, []) → sum1821_out_gga(0, [], .(s(s(0)), []))
sum1933_in_gga(s(T6911), T6912) → U159_gga(T6911, T6912, sum1821_in_gga(T6911, T6912))
sum1933_in_gga(0, .(s(T6930), T6931)) → U160_gga(T6930, T6931, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931)))
sum1933_in_gga(0, .(0, .(s(T6949), T6950))) → U161_gga(T6949, T6950, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950))))
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969)))) → U162_gga(T6968, T6969, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969)))))
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988))))) → U163_gga(T6987, T6988, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))) → U164_gga(T7006, T7007, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))) → U165_gga(T7025, T7026, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))) → U166_gga(T7044, T7045, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))) → U167_gga(T7052, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, []))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, [])) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, []) → sum1933_out_gga(0, [], .(s(0), []))
sum2007_in_gga(.(s(T7071), T7072), T7073) → U157_gga(T7071, T7072, T7073, sum1895_in_gga(.(T7071, T7072), T7073))
sum2007_in_gga(.(0, T7085), T7086) → U158_gga(T7085, T7086, sum2007_in_gga(T7085, T7086))
sum2121_in_gga(.(s(T7280), T7281), T7282) → U168_gga(T7280, T7281, T7282, sum2007_in_gga(.(T7280, T7281), T7282))
sum2121_in_gga(.(0, T7294), T7295) → U169_gga(T7294, T7295, sum2121_in_gga(T7294, T7295))
sum2121_in_gga([], T7301) → sum2121_out_gga([], T7301, .(0, T7301))
U1_gggga(T181, T182, T183, T184, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)
U2_gggga(T201, T202, T203, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U93_gga(T5665, T5666, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
U94_gga(T5688, T5689, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
U95_gga(T5711, T5712, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
U96_gga(T5734, T5735, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
U97_gga(T5757, T5758, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
U98_gga(T5780, T5781, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
U99_gga(T5803, T5804, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
U100_gga(T5826, T5827, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
U101_gga(T5840, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
U104_gga(T5901, T5902, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
U105_gga(T5920, T5921, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
U106_gga(T5939, T5940, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
U107_gga(T5958, T5959, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
U108_gga(T5977, T5978, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
U109_gga(T5996, T5997, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
U110_gga(T6015, T6016, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
U111_gga(T6034, T6035, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
U112_gga(T6042, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
U115_gga(T6103, T6104, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
U116_gga(T6122, T6123, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
U117_gga(T6141, T6142, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
U118_gga(T6160, T6161, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
U119_gga(T6179, T6180, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
U120_gga(T6198, T6199, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
U121_gga(T6217, T6218, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
U122_gga(T6236, T6237, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
U123_gga(T6244, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
U126_gga(T6305, T6306, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
U127_gga(T6324, T6325, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
U128_gga(T6343, T6344, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
U129_gga(T6362, T6363, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
U130_gga(T6381, T6382, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
U131_gga(T6400, T6401, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
U132_gga(T6419, T6420, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
U133_gga(T6438, T6439, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
U134_gga(T6446, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
U137_gga(T6507, T6508, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
U138_gga(T6526, T6527, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
U139_gga(T6545, T6546, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
U140_gga(T6564, T6565, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
U141_gga(T6583, T6584, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
U142_gga(T6602, T6603, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
U143_gga(T6621, T6622, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
U144_gga(T6640, T6641, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
U145_gga(T6648, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
U148_gga(T6709, T6710, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
U149_gga(T6728, T6729, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
U150_gga(T6747, T6748, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
U151_gga(T6766, T6767, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
U152_gga(T6785, T6786, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
U153_gga(T6804, T6805, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
U154_gga(T6823, T6824, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
U155_gga(T6842, T6843, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
U156_gga(T6850, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
U159_gga(T6911, T6912, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
U160_gga(T6930, T6931, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
U161_gga(T6949, T6950, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
U162_gga(T6968, T6969, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
U163_gga(T6987, T6988, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
U164_gga(T7006, T7007, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
U165_gga(T7025, T7026, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
U166_gga(T7044, T7045, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
U167_gga(T7052, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
U157_gga(T7071, T7072, T7073, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
U158_gga(T7085, T7086, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
U168_gga(T7280, T7281, T7282, sum2007_out_gga(.(T7280, T7281), T7282, X13821)) → sum2121_out_gga(.(s(T7280), T7281), T7282, X13821)
U169_gga(T7294, T7295, sum2121_out_gga(T7294, T7295, X13852)) → sum2121_out_gga(.(0, T7294), T7295, X13852)
sum55_in_ggga(s(T219), T220, T221) → U3_ggga(T219, T220, T221, sum55_in_ggga(T219, T220, s(T221)))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360) → U4_ggga(T358, T359, T360, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115) → U5_ggga(T4113, T4114, T4115, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146) → U6_ggga(T4144, T4145, T4146, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145)))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177) → U7_ggga(T4175, T4176, T4177, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208) → U8_ggga(T4206, T4207, T4208, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207)))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239) → U9_ggga(T4237, T4238, T4239, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270) → U10_ggga(T4268, T4269, T4270, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283) → U11_ggga(T4282, T4283, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337) → U12_ggga(T4335, T4336, T4337, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368) → U13_ggga(T4366, T4367, T4368, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367)))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399) → U14_ggga(T4397, T4398, T4399, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430) → U15_ggga(T4428, T4429, T4430, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429)))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461) → U16_ggga(T4459, T4460, T4461, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492) → U17_ggga(T4490, T4491, T4492, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505) → U18_ggga(T4504, T4505, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559) → U19_ggga(T4557, T4558, T4559, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590) → U20_ggga(T4588, T4589, T4590, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589)))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621) → U21_ggga(T4619, T4620, T4621, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652) → U22_ggga(T4650, T4651, T4652, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651)))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683) → U23_ggga(T4681, T4682, T4683, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714) → U24_ggga(T4712, T4713, T4714, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727) → U25_ggga(T4726, T4727, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781) → U26_ggga(T4779, T4780, T4781, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812) → U27_ggga(T4810, T4811, T4812, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811)))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843) → U28_ggga(T4841, T4842, T4843, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874) → U29_ggga(T4872, T4873, T4874, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873)))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905) → U30_ggga(T4903, T4904, T4905, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936) → U31_ggga(T4934, T4935, T4936, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949) → U32_ggga(T4948, T4949, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003) → U33_ggga(T5001, T5002, T5003, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034) → U34_ggga(T5032, T5033, T5034, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033)))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065) → U35_ggga(T5063, T5064, T5065, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096) → U36_ggga(T5094, T5095, T5096, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095)))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127) → U37_ggga(T5125, T5126, T5127, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158) → U38_ggga(T5156, T5157, T5158, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171) → U39_ggga(T5170, T5171, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225) → U40_ggga(T5223, T5224, T5225, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224))))
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256) → U41_ggga(T5254, T5255, T5256, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255)))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287) → U42_ggga(T5285, T5286, T5287, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318) → U43_ggga(T5316, T5317, T5318, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317)))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349) → U44_ggga(T5347, T5348, T5349, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380) → U45_ggga(T5378, T5379, T5380, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393) → U46_ggga(T5392, T5393, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447) → U47_ggga(T5445, T5446, T5447, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446))))
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478) → U48_ggga(T5476, T5477, T5478, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477)))))
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509) → U49_ggga(T5507, T5508, T5509, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540) → U50_ggga(T5538, T5539, T5540, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539)))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571) → U51_ggga(T5569, T5570, T5571, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602) → U52_ggga(T5600, T5601, T5602, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615) → U53_ggga(T5614, T5615, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466) → U89_ggga(T2463, T2464, T2465, T2466, sum377_in_gggga(T2463, T2464, s(T2465), T2466))
sum385_in_ggga(.(0, T2483), T2484, T2485) → U90_ggga(T2483, T2484, T2485, sum385_in_ggga(T2483, T2484, T2485))
sum1335_in_gga(.(s(T5859), T5860), T5861) → U91_gga(T5859, T5860, T5861, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861))
sum1335_in_gga(.(0, T5873), T5874) → U92_gga(T5873, T5874, sum1335_in_gga(T5873, T5874))
sum1335_in_gga([], T5880) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
sum1447_in_gga(.(s(T6061), T6062), T6063) → U102_gga(T6061, T6062, T6063, sum1335_in_gga(.(T6061, T6062), T6063))
sum1447_in_gga(.(0, T6075), T6076) → U103_gga(T6075, T6076, sum1447_in_gga(T6075, T6076))
sum1447_in_gga([], T6082) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
sum1559_in_gga(.(s(T6263), T6264), T6265) → U113_gga(T6263, T6264, T6265, sum1447_in_gga(.(T6263, T6264), T6265))
sum1559_in_gga(.(0, T6277), T6278) → U114_gga(T6277, T6278, sum1559_in_gga(T6277, T6278))
sum1559_in_gga([], T6284) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
sum1671_in_gga(.(s(T6465), T6466), T6467) → U124_gga(T6465, T6466, T6467, sum1559_in_gga(.(T6465, T6466), T6467))
sum1671_in_gga(.(0, T6479), T6480) → U125_gga(T6479, T6480, sum1671_in_gga(T6479, T6480))
sum1671_in_gga([], T6486) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
sum1783_in_gga(.(s(T6667), T6668), T6669) → U135_gga(T6667, T6668, T6669, sum1671_in_gga(.(T6667, T6668), T6669))
sum1783_in_gga(.(0, T6681), T6682) → U136_gga(T6681, T6682, sum1783_in_gga(T6681, T6682))
sum1783_in_gga([], T6688) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
sum1895_in_gga(.(s(T6869), T6870), T6871) → U146_gga(T6869, T6870, T6871, sum1783_in_gga(.(T6869, T6870), T6871))
sum1895_in_gga(.(0, T6883), T6884) → U147_gga(T6883, T6884, sum1895_in_gga(T6883, T6884))
sum1895_in_gga([], T6890) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
sum2007_in_gga([], T7092) → sum2007_out_gga([], T7092, .(s(0), T7092))
U3_ggga(T219, T220, T221, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U4_ggga(T358, T359, T360, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
U5_ggga(T4113, T4114, T4115, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
U6_ggga(T4144, T4145, T4146, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
U7_ggga(T4175, T4176, T4177, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
U8_ggga(T4206, T4207, T4208, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
U9_ggga(T4237, T4238, T4239, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
U10_ggga(T4268, T4269, T4270, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
U11_ggga(T4282, T4283, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
U12_ggga(T4335, T4336, T4337, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
U13_ggga(T4366, T4367, T4368, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
U14_ggga(T4397, T4398, T4399, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
U15_ggga(T4428, T4429, T4430, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
U16_ggga(T4459, T4460, T4461, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
U17_ggga(T4490, T4491, T4492, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
U18_ggga(T4504, T4505, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
U19_ggga(T4557, T4558, T4559, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
U20_ggga(T4588, T4589, T4590, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
U21_ggga(T4619, T4620, T4621, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
U22_ggga(T4650, T4651, T4652, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
U23_ggga(T4681, T4682, T4683, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
U24_ggga(T4712, T4713, T4714, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
U25_ggga(T4726, T4727, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
U26_ggga(T4779, T4780, T4781, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
U27_ggga(T4810, T4811, T4812, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
U28_ggga(T4841, T4842, T4843, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
U29_ggga(T4872, T4873, T4874, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
U30_ggga(T4903, T4904, T4905, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
U31_ggga(T4934, T4935, T4936, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
U32_ggga(T4948, T4949, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
U33_ggga(T5001, T5002, T5003, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
U34_ggga(T5032, T5033, T5034, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
U35_ggga(T5063, T5064, T5065, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
U36_ggga(T5094, T5095, T5096, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
U37_ggga(T5125, T5126, T5127, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
U38_ggga(T5156, T5157, T5158, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
U39_ggga(T5170, T5171, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
U40_ggga(T5223, T5224, T5225, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
U41_ggga(T5254, T5255, T5256, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
U42_ggga(T5285, T5286, T5287, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
U43_ggga(T5316, T5317, T5318, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
U44_ggga(T5347, T5348, T5349, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
U45_ggga(T5378, T5379, T5380, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
U46_ggga(T5392, T5393, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
U47_ggga(T5445, T5446, T5447, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
U48_ggga(T5476, T5477, T5478, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
U49_ggga(T5507, T5508, T5509, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
U50_ggga(T5538, T5539, T5540, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
U51_ggga(T5569, T5570, T5571, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
U52_ggga(T5600, T5601, T5602, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
U53_ggga(T5614, T5615, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
U89_ggga(T2463, T2464, T2465, T2466, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
U90_ggga(T2483, T2484, T2485, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
U91_gga(T5859, T5860, T5861, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
U92_gga(T5873, T5874, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
U102_gga(T6061, T6062, T6063, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
U103_gga(T6075, T6076, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
U113_gga(T6263, T6264, T6265, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
U114_gga(T6277, T6278, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
U124_gga(T6465, T6466, T6467, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
U125_gga(T6479, T6480, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
U135_gga(T6667, T6668, T6669, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
U136_gga(T6681, T6682, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
U146_gga(T6869, T6870, T6871, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
U147_gga(T6883, T6884, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
sum101_in_ggga(s(T380), T381, T382) → U170_ggga(T380, T381, T382, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380)))))))))
sum101_in_ggga(0, .(s(T3891), T3892), T3893) → U171_ggga(T3891, T3892, T3893, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892))))
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924) → U172_ggga(T3922, T3923, T3924, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923)))))
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955) → U173_ggga(T3953, T3954, T3955, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986) → U174_ggga(T3984, T3985, T3986, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985)))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017) → U175_ggga(T4015, T4016, T4017, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048) → U176_ggga(T4046, T4047, T4048, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061) → U177_ggga(T4060, T4061, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
sum385_in_ggga([], T2494, T2495) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
sum377_in_gggga(s(T2420), T2421, T2422, T2423) → U87_gggga(T2420, T2421, T2422, T2423, sum377_in_gggga(T2420, T2421, s(T2422), T2423))
sum377_in_gggga(0, T2440, T2441, T2442) → U88_gggga(T2440, T2441, T2442, sum385_in_ggga(T2440, T2441, T2442))
U170_ggga(T380, T381, T382, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
U171_ggga(T3891, T3892, T3893, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
U172_ggga(T3922, T3923, T3924, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
U173_ggga(T3953, T3954, T3955, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
U174_ggga(T3984, T3985, T3986, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
U175_ggga(T4015, T4016, T4017, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
U176_ggga(T4046, T4047, T4048, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
U177_ggga(T4060, T4061, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
U87_gggga(T2420, T2421, T2422, T2423, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U88_gggga(T2440, T2441, T2442, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
sum107_in_gggga(s(T407), T408, T409, T410) → U54_gggga(T407, T408, T409, T410, sum107_in_gggga(T407, T408, s(T409), T410))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573) → U55_gggga(T570, T571, T572, T573, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573))
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760) → U56_gggga(T3758, T3759, T3760, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758))))
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779) → U57_gggga(T3777, T3778, T3779, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777))))
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798) → U58_gggga(T3796, T3797, T3798, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796))))
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817) → U59_gggga(T3815, T3816, T3817, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815))))
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836) → U60_gggga(T3834, T3835, T3836, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834))))
sum107_in_gggga(0, .(0, T3853), T3854, T3855) → U61_gggga(T3853, T3854, T3855, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853))))
sum107_in_gggga(0, [], T3864, T3865) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U54_gggga(T407, T408, T409, T410, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U55_gggga(T570, T571, T572, T573, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
U56_gggga(T3758, T3759, T3760, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
U57_gggga(T3777, T3778, T3779, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
U58_gggga(T3796, T3797, T3798, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
U59_gggga(T3815, T3816, T3817, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
U60_gggga(T3834, T3835, T3836, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
U61_gggga(T3853, T3854, T3855, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
sum147_in_gggga(s(s(T623)), T624, T625, T626) → U178_gggga(T623, T624, T625, T626, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623)))))))))
sum147_in_gggga(s(0), T3720, T3721, T3722) → U179_gggga(T3720, T3721, T3722, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720))))
sum147_in_gggga(0, T3739, T3740, T3741) → U180_gggga(T3739, T3740, T3741, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739))))
U178_gggga(T623, T624, T625, T626, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
U179_gggga(T3720, T3721, T3722, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
U180_gggga(T3739, T3740, T3741, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
sum158_in_ggggga(s(T657), T658, T659, T660, T661) → U62_ggggga(T657, T658, T659, T660, T661, sum158_in_ggggga(T657, T658, s(T659), T660, T661))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836) → U63_ggggga(T832, T833, T834, T835, T836, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836))
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593) → U64_ggggga(T3590, T3591, T3592, T3593, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590)))))
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618) → U65_ggggga(T3615, T3616, T3617, T3618, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615)))))
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643) → U66_ggggga(T3640, T3641, T3642, T3643, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640)))))
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668) → U67_ggggga(T3665, T3666, T3667, T3668, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665)))))
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693) → U68_ggggga(T3690, T3691, T3692, T3693, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690)))))
sum158_in_ggggga(0, [], T3705, T3706, T3707) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U62_ggggga(T657, T658, T659, T660, T661, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U63_ggggga(T832, T833, T834, T835, T836, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
U64_ggggga(T3590, T3591, T3592, T3593, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
U65_ggggga(T3615, T3616, T3617, T3618, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
U66_ggggga(T3640, T3641, T3642, T3643, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
U67_ggggga(T3665, T3666, T3667, T3668, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
U68_ggggga(T3690, T3691, T3692, T3693, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932) → U181_ggggga(T928, T929, T930, T931, T932, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928)))))))))
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518) → U182_ggggga(T3515, T3516, T3517, T3518, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515)))))
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543) → U183_ggggga(T3540, T3541, T3542, T3543, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540)))))
sum193_in_ggggga(0, T3565, T3566, T3567, T3568) → U184_ggggga(T3565, T3566, T3567, T3568, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565)))))
U181_ggggga(T928, T929, T930, T931, T932, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
U182_ggggga(T3515, T3516, T3517, T3518, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
U183_ggggga(T3540, T3541, T3542, T3543, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
U184_ggggga(T3565, T3566, T3567, T3568, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974) → U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149))
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383))))))
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414))))))
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445))))))
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476))))))
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295)))))))))
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259))))))
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290))))))
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321))))))
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352))))))
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512))
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137)))))))
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174)))))))
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211)))))))
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724)))))))))
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952)))))))
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989)))))))
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026)))))))
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063)))))))
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100)))))))
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925))
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852))))))))
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895))))))))
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215)))))))))
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594))))))))
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637))))))))
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680))))))))
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723))))))))
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766))))))))
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809))))))))
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381)))))))))
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528)))))))))
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)

The set Q consists of the following terms:

sum10_in_ggga(x0, x1, x2)
sum2047_in_gga(x0, x1)
U203_ggga(x0, x1, x2, x3)
U204_ggga(x0, x1, x2)
U205_ggga(x0, x1, x2)
U206_ggga(x0, x1, x2)
U207_ggga(x0, x1, x2)
U208_ggga(x0, x1, x2)
U209_ggga(x0, x1, x2)
U210_ggga(x0, x1, x2)
U211_gga(x0, x1, x2)
U212_gga(x0, x1, x2)
U213_gga(x0, x1, x2)
U214_gga(x0, x1, x2)
U215_gga(x0, x1, x2)
U216_gga(x0, x1, x2)
U217_gga(x0, x1, x2)
U218_gga(x0, x1, x2)
U219_gga(x0, x1)
sum47_in_gggga(x0, x1, x2, x3)
sum1253_in_gga(x0, x1)
sum1373_in_gga(x0, x1)
sum1485_in_gga(x0, x1)
sum1597_in_gga(x0, x1)
sum1709_in_gga(x0, x1)
sum1821_in_gga(x0, x1)
sum1933_in_gga(x0, x1)
sum2007_in_gga(x0, x1)
sum2121_in_gga(x0, x1)
U1_gggga(x0, x1, x2, x3, x4)
U2_gggga(x0, x1, x2, x3)
U93_gga(x0, x1, x2)
U94_gga(x0, x1, x2)
U95_gga(x0, x1, x2)
U96_gga(x0, x1, x2)
U97_gga(x0, x1, x2)
U98_gga(x0, x1, x2)
U99_gga(x0, x1, x2)
U100_gga(x0, x1, x2)
U101_gga(x0, x1)
U104_gga(x0, x1, x2)
U105_gga(x0, x1, x2)
U106_gga(x0, x1, x2)
U107_gga(x0, x1, x2)
U108_gga(x0, x1, x2)
U109_gga(x0, x1, x2)
U110_gga(x0, x1, x2)
U111_gga(x0, x1, x2)
U112_gga(x0, x1)
U115_gga(x0, x1, x2)
U116_gga(x0, x1, x2)
U117_gga(x0, x1, x2)
U118_gga(x0, x1, x2)
U119_gga(x0, x1, x2)
U120_gga(x0, x1, x2)
U121_gga(x0, x1, x2)
U122_gga(x0, x1, x2)
U123_gga(x0, x1)
U126_gga(x0, x1, x2)
U127_gga(x0, x1, x2)
U128_gga(x0, x1, x2)
U129_gga(x0, x1, x2)
U130_gga(x0, x1, x2)
U131_gga(x0, x1, x2)
U132_gga(x0, x1, x2)
U133_gga(x0, x1, x2)
U134_gga(x0, x1)
U137_gga(x0, x1, x2)
U138_gga(x0, x1, x2)
U139_gga(x0, x1, x2)
U140_gga(x0, x1, x2)
U141_gga(x0, x1, x2)
U142_gga(x0, x1, x2)
U143_gga(x0, x1, x2)
U144_gga(x0, x1, x2)
U145_gga(x0, x1)
U148_gga(x0, x1, x2)
U149_gga(x0, x1, x2)
U150_gga(x0, x1, x2)
U151_gga(x0, x1, x2)
U152_gga(x0, x1, x2)
U153_gga(x0, x1, x2)
U154_gga(x0, x1, x2)
U155_gga(x0, x1, x2)
U156_gga(x0, x1)
U159_gga(x0, x1, x2)
U160_gga(x0, x1, x2)
U161_gga(x0, x1, x2)
U162_gga(x0, x1, x2)
U163_gga(x0, x1, x2)
U164_gga(x0, x1, x2)
U165_gga(x0, x1, x2)
U166_gga(x0, x1, x2)
U167_gga(x0, x1)
U157_gga(x0, x1, x2, x3)
U158_gga(x0, x1, x2)
U168_gga(x0, x1, x2, x3)
U169_gga(x0, x1, x2)
sum55_in_ggga(x0, x1, x2)
sum385_in_ggga(x0, x1, x2)
sum1335_in_gga(x0, x1)
sum1447_in_gga(x0, x1)
sum1559_in_gga(x0, x1)
sum1671_in_gga(x0, x1)
sum1783_in_gga(x0, x1)
sum1895_in_gga(x0, x1)
U3_ggga(x0, x1, x2, x3)
U4_ggga(x0, x1, x2, x3)
U5_ggga(x0, x1, x2, x3)
U6_ggga(x0, x1, x2, x3)
U7_ggga(x0, x1, x2, x3)
U8_ggga(x0, x1, x2, x3)
U9_ggga(x0, x1, x2, x3)
U10_ggga(x0, x1, x2, x3)
U11_ggga(x0, x1, x2)
U12_ggga(x0, x1, x2, x3)
U13_ggga(x0, x1, x2, x3)
U14_ggga(x0, x1, x2, x3)
U15_ggga(x0, x1, x2, x3)
U16_ggga(x0, x1, x2, x3)
U17_ggga(x0, x1, x2, x3)
U18_ggga(x0, x1, x2)
U19_ggga(x0, x1, x2, x3)
U20_ggga(x0, x1, x2, x3)
U21_ggga(x0, x1, x2, x3)
U22_ggga(x0, x1, x2, x3)
U23_ggga(x0, x1, x2, x3)
U24_ggga(x0, x1, x2, x3)
U25_ggga(x0, x1, x2)
U26_ggga(x0, x1, x2, x3)
U27_ggga(x0, x1, x2, x3)
U28_ggga(x0, x1, x2, x3)
U29_ggga(x0, x1, x2, x3)
U30_ggga(x0, x1, x2, x3)
U31_ggga(x0, x1, x2, x3)
U32_ggga(x0, x1, x2)
U33_ggga(x0, x1, x2, x3)
U34_ggga(x0, x1, x2, x3)
U35_ggga(x0, x1, x2, x3)
U36_ggga(x0, x1, x2, x3)
U37_ggga(x0, x1, x2, x3)
U38_ggga(x0, x1, x2, x3)
U39_ggga(x0, x1, x2)
U40_ggga(x0, x1, x2, x3)
U41_ggga(x0, x1, x2, x3)
U42_ggga(x0, x1, x2, x3)
U43_ggga(x0, x1, x2, x3)
U44_ggga(x0, x1, x2, x3)
U45_ggga(x0, x1, x2, x3)
U46_ggga(x0, x1, x2)
U47_ggga(x0, x1, x2, x3)
U48_ggga(x0, x1, x2, x3)
U49_ggga(x0, x1, x2, x3)
U50_ggga(x0, x1, x2, x3)
U51_ggga(x0, x1, x2, x3)
U52_ggga(x0, x1, x2, x3)
U53_ggga(x0, x1, x2)
U89_ggga(x0, x1, x2, x3, x4)
U90_ggga(x0, x1, x2, x3)
U91_gga(x0, x1, x2, x3)
U92_gga(x0, x1, x2)
U102_gga(x0, x1, x2, x3)
U103_gga(x0, x1, x2)
U113_gga(x0, x1, x2, x3)
U114_gga(x0, x1, x2)
U124_gga(x0, x1, x2, x3)
U125_gga(x0, x1, x2)
U135_gga(x0, x1, x2, x3)
U136_gga(x0, x1, x2)
U146_gga(x0, x1, x2, x3)
U147_gga(x0, x1, x2)
sum101_in_ggga(x0, x1, x2)
sum377_in_gggga(x0, x1, x2, x3)
U170_ggga(x0, x1, x2, x3)
U171_ggga(x0, x1, x2, x3)
U172_ggga(x0, x1, x2, x3)
U173_ggga(x0, x1, x2, x3)
U174_ggga(x0, x1, x2, x3)
U175_ggga(x0, x1, x2, x3)
U176_ggga(x0, x1, x2, x3)
U177_ggga(x0, x1, x2)
U87_gggga(x0, x1, x2, x3, x4)
U88_gggga(x0, x1, x2, x3)
sum107_in_gggga(x0, x1, x2, x3)
U54_gggga(x0, x1, x2, x3, x4)
U55_gggga(x0, x1, x2, x3, x4)
U56_gggga(x0, x1, x2, x3)
U57_gggga(x0, x1, x2, x3)
U58_gggga(x0, x1, x2, x3)
U59_gggga(x0, x1, x2, x3)
U60_gggga(x0, x1, x2, x3)
U61_gggga(x0, x1, x2, x3)
sum147_in_gggga(x0, x1, x2, x3)
U178_gggga(x0, x1, x2, x3, x4)
U179_gggga(x0, x1, x2, x3)
U180_gggga(x0, x1, x2, x3)
sum158_in_ggggga(x0, x1, x2, x3, x4)
U62_ggggga(x0, x1, x2, x3, x4, x5)
U63_ggggga(x0, x1, x2, x3, x4, x5)
U64_ggggga(x0, x1, x2, x3, x4)
U65_ggggga(x0, x1, x2, x3, x4)
U66_ggggga(x0, x1, x2, x3, x4)
U67_ggggga(x0, x1, x2, x3, x4)
U68_ggggga(x0, x1, x2, x3, x4)
sum193_in_ggggga(x0, x1, x2, x3, x4)
U181_ggggga(x0, x1, x2, x3, x4, x5)
U182_ggggga(x0, x1, x2, x3, x4)
U183_ggggga(x0, x1, x2, x3, x4)
U184_ggggga(x0, x1, x2, x3, x4)
sum209_in_gggggga(x0, x1, x2, x3, x4, x5)
U69_gggggga(x0, x1, x2, x3, x4, x5, x6)
U70_gggggga(x0, x1, x2, x3, x4, x5, x6)
U71_gggggga(x0, x1, x2, x3, x4, x5)
U72_gggggga(x0, x1, x2, x3, x4, x5)
U73_gggggga(x0, x1, x2, x3, x4, x5)
U74_gggggga(x0, x1, x2, x3, x4, x5)
sum239_in_gggggga(x0, x1, x2, x3, x4, x5)
U185_gggggga(x0, x1, x2, x3, x4, x5, x6)
U186_gggggga(x0, x1, x2, x3, x4, x5)
U187_gggggga(x0, x1, x2, x3, x4, x5)
U188_gggggga(x0, x1, x2, x3, x4, x5)
U189_gggggga(x0, x1, x2, x3, x4, x5)
sum260_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U75_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U76_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U77_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U78_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U79_ggggggga(x0, x1, x2, x3, x4, x5, x6)
sum285_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U190_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U191_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U192_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U193_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U194_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U195_ggggggga(x0, x1, x2, x3, x4, x5, x6)
sum311_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U80_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U81_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U82_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U83_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
sum331_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U196_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U197_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U198_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U199_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U200_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U201_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U202_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
sum362_in_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U84_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U85_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U86_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)

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

(267) UsableRulesProof (EQUIVALENT transformation)

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

(268) Obligation:

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

U221_GA(T24, T25, T26, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30)
WEIGHT1_IN_GA(.(s(T24), .(T25, T26))) → U221_GA(T24, T25, T26, sum10_in_ggga(T24, T25, T26))

The TRS R consists of the following rules:

sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156) → U203_ggga(T154, T155, T156, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0)))))))))
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654) → U204_ggga(T5653, T5654, sum1253_in_gga(T5653, T5654))
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890) → U205_ggga(T5889, T5890, sum1373_in_gga(T5889, T5890))
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092) → U206_ggga(T6091, T6092, sum1485_in_gga(T6091, T6092))
sum10_in_ggga(s(s(s(0))), T6293, T6294) → U207_ggga(T6293, T6294, sum1597_in_gga(T6293, T6294))
sum10_in_ggga(s(s(0)), T6495, T6496) → U208_ggga(T6495, T6496, sum1709_in_gga(T6495, T6496))
sum10_in_ggga(s(0), T6697, T6698) → U209_ggga(T6697, T6698, sum1821_in_gga(T6697, T6698))
sum10_in_ggga(0, T6899, T6900) → U210_ggga(T6899, T6900, sum1933_in_gga(T6899, T6900))
sum1933_in_gga(s(T6911), T6912) → U159_gga(T6911, T6912, sum1821_in_gga(T6911, T6912))
sum1933_in_gga(0, .(s(T6930), T6931)) → U160_gga(T6930, T6931, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931)))
sum1933_in_gga(0, .(0, .(s(T6949), T6950))) → U161_gga(T6949, T6950, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950))))
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969)))) → U162_gga(T6968, T6969, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969)))))
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988))))) → U163_gga(T6987, T6988, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))) → U164_gga(T7006, T7007, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))) → U165_gga(T7025, T7026, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))) → U166_gga(T7044, T7045, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))) → U167_gga(T7052, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, []))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, [])) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, []) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
sum2007_in_gga(.(s(T7071), T7072), T7073) → U157_gga(T7071, T7072, T7073, sum1895_in_gga(.(T7071, T7072), T7073))
sum2007_in_gga(.(0, T7085), T7086) → U158_gga(T7085, T7086, sum2007_in_gga(T7085, T7086))
sum2007_in_gga([], T7092) → sum2007_out_gga([], T7092, .(s(0), T7092))
U167_gga(T7052, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
U158_gga(T7085, T7086, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
sum1895_in_gga(.(s(T6869), T6870), T6871) → U146_gga(T6869, T6870, T6871, sum1783_in_gga(.(T6869, T6870), T6871))
sum1895_in_gga(.(0, T6883), T6884) → U147_gga(T6883, T6884, sum1895_in_gga(T6883, T6884))
U157_gga(T7071, T7072, T7073, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum1895_in_gga([], T6890) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
sum1783_in_gga(.(s(T6667), T6668), T6669) → U135_gga(T6667, T6668, T6669, sum1671_in_gga(.(T6667, T6668), T6669))
sum1783_in_gga(.(0, T6681), T6682) → U136_gga(T6681, T6682, sum1783_in_gga(T6681, T6682))
U146_gga(T6869, T6870, T6871, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1783_in_gga([], T6688) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
sum1671_in_gga(.(s(T6465), T6466), T6467) → U124_gga(T6465, T6466, T6467, sum1559_in_gga(.(T6465, T6466), T6467))
sum1671_in_gga(.(0, T6479), T6480) → U125_gga(T6479, T6480, sum1671_in_gga(T6479, T6480))
U135_gga(T6667, T6668, T6669, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1671_in_gga([], T6486) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
sum1559_in_gga(.(s(T6263), T6264), T6265) → U113_gga(T6263, T6264, T6265, sum1447_in_gga(.(T6263, T6264), T6265))
sum1559_in_gga(.(0, T6277), T6278) → U114_gga(T6277, T6278, sum1559_in_gga(T6277, T6278))
U124_gga(T6465, T6466, T6467, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1559_in_gga([], T6284) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
sum1447_in_gga(.(s(T6061), T6062), T6063) → U102_gga(T6061, T6062, T6063, sum1335_in_gga(.(T6061, T6062), T6063))
sum1447_in_gga(.(0, T6075), T6076) → U103_gga(T6075, T6076, sum1447_in_gga(T6075, T6076))
U113_gga(T6263, T6264, T6265, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1447_in_gga([], T6082) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
sum1335_in_gga(.(s(T5859), T5860), T5861) → U91_gga(T5859, T5860, T5861, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861))
sum1335_in_gga(.(0, T5873), T5874) → U92_gga(T5873, T5874, sum1335_in_gga(T5873, T5874))
U102_gga(T6061, T6062, T6063, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1335_in_gga([], T5880) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466) → U89_ggga(T2463, T2464, T2465, T2466, sum377_in_gggga(T2463, T2464, s(T2465), T2466))
sum385_in_ggga(.(0, T2483), T2484, T2485) → U90_ggga(T2483, T2484, T2485, sum385_in_ggga(T2483, T2484, T2485))
U91_gga(T5859, T5860, T5861, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum385_in_ggga([], T2494, T2495) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
sum377_in_gggga(s(T2420), T2421, T2422, T2423) → U87_gggga(T2420, T2421, T2422, T2423, sum377_in_gggga(T2420, T2421, s(T2422), T2423))
sum377_in_gggga(0, T2440, T2441, T2442) → U88_gggga(T2440, T2441, T2442, sum385_in_ggga(T2440, T2441, T2442))
U89_ggga(T2463, T2464, T2465, T2466, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
U88_gggga(T2440, T2441, T2442, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U166_gga(T7044, T7045, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
U165_gga(T7025, T7026, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
U164_gga(T7006, T7007, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
U163_gga(T6987, T6988, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
U162_gga(T6968, T6969, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
U161_gga(T6949, T6950, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
U160_gga(T6930, T6931, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1821_in_gga(s(T6709), T6710) → U148_gga(T6709, T6710, sum1709_in_gga(T6709, T6710))
sum1821_in_gga(0, .(s(T6728), T6729)) → U149_gga(T6728, T6729, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729)))
sum1821_in_gga(0, .(0, .(s(T6747), T6748))) → U150_gga(T6747, T6748, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748))))
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767)))) → U151_gga(T6766, T6767, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767)))))
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786))))) → U152_gga(T6785, T6786, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))) → U153_gga(T6804, T6805, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))) → U154_gga(T6823, T6824, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))) → U155_gga(T6842, T6843, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))) → U156_gga(T6850, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, []))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, [])) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, []) → sum1821_out_gga(0, [], .(s(s(0)), []))
U159_gga(T6911, T6912, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
U156_gga(T6850, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
U155_gga(T6842, T6843, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
U154_gga(T6823, T6824, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
U153_gga(T6804, T6805, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
U152_gga(T6785, T6786, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
U151_gga(T6766, T6767, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
U150_gga(T6747, T6748, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
U149_gga(T6728, T6729, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1709_in_gga(s(T6507), T6508) → U137_gga(T6507, T6508, sum1597_in_gga(T6507, T6508))
sum1709_in_gga(0, .(s(T6526), T6527)) → U138_gga(T6526, T6527, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527)))
sum1709_in_gga(0, .(0, .(s(T6545), T6546))) → U139_gga(T6545, T6546, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546))))
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565)))) → U140_gga(T6564, T6565, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565)))))
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584))))) → U141_gga(T6583, T6584, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))) → U142_gga(T6602, T6603, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))) → U143_gga(T6621, T6622, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))) → U144_gga(T6640, T6641, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))) → U145_gga(T6648, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, []))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, [])) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, []) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U148_gga(T6709, T6710, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
U145_gga(T6648, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
U144_gga(T6640, T6641, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
U143_gga(T6621, T6622, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
U142_gga(T6602, T6603, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
U141_gga(T6583, T6584, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
U140_gga(T6564, T6565, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
U139_gga(T6545, T6546, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
U138_gga(T6526, T6527, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1597_in_gga(s(T6305), T6306) → U126_gga(T6305, T6306, sum1485_in_gga(T6305, T6306))
sum1597_in_gga(0, .(s(T6324), T6325)) → U127_gga(T6324, T6325, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325)))
sum1597_in_gga(0, .(0, .(s(T6343), T6344))) → U128_gga(T6343, T6344, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344))))
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363)))) → U129_gga(T6362, T6363, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363)))))
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382))))) → U130_gga(T6381, T6382, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))) → U131_gga(T6400, T6401, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))) → U132_gga(T6419, T6420, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))) → U133_gga(T6438, T6439, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))) → U134_gga(T6446, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, []))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, [])) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, []) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U137_gga(T6507, T6508, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
U134_gga(T6446, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
U133_gga(T6438, T6439, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
U132_gga(T6419, T6420, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
U131_gga(T6400, T6401, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
U130_gga(T6381, T6382, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
U129_gga(T6362, T6363, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
U128_gga(T6343, T6344, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
U127_gga(T6324, T6325, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1485_in_gga(s(T6103), T6104) → U115_gga(T6103, T6104, sum1373_in_gga(T6103, T6104))
sum1485_in_gga(0, .(s(T6122), T6123)) → U116_gga(T6122, T6123, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123)))
sum1485_in_gga(0, .(0, .(s(T6141), T6142))) → U117_gga(T6141, T6142, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142))))
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161)))) → U118_gga(T6160, T6161, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161)))))
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180))))) → U119_gga(T6179, T6180, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))) → U120_gga(T6198, T6199, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))) → U121_gga(T6217, T6218, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))) → U122_gga(T6236, T6237, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))) → U123_gga(T6244, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, []))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, [])) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, []) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U126_gga(T6305, T6306, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
U123_gga(T6244, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
U122_gga(T6236, T6237, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
U121_gga(T6217, T6218, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
U120_gga(T6198, T6199, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
U119_gga(T6179, T6180, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
U118_gga(T6160, T6161, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
U117_gga(T6141, T6142, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
U116_gga(T6122, T6123, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1373_in_gga(s(T5901), T5902) → U104_gga(T5901, T5902, sum1253_in_gga(T5901, T5902))
sum1373_in_gga(0, .(s(T5920), T5921)) → U105_gga(T5920, T5921, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921)))
sum1373_in_gga(0, .(0, .(s(T5939), T5940))) → U106_gga(T5939, T5940, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940))))
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959)))) → U107_gga(T5958, T5959, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959)))))
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978))))) → U108_gga(T5977, T5978, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))) → U109_gga(T5996, T5997, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))) → U110_gga(T6015, T6016, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))) → U111_gga(T6034, T6035, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))) → U112_gga(T6042, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, []))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, [])) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, []) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U115_gga(T6103, T6104, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
U112_gga(T6042, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
U111_gga(T6034, T6035, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
U110_gga(T6015, T6016, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
U109_gga(T5996, T5997, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
U108_gga(T5977, T5978, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
U107_gga(T5958, T5959, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
U106_gga(T5939, T5940, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
U105_gga(T5920, T5921, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1253_in_gga(s(T5665), T5666) → U93_gga(T5665, T5666, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0)))))))))
sum1253_in_gga(0, .(s(T5688), T5689)) → U94_gga(T5688, T5689, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689)))
sum1253_in_gga(0, .(0, .(s(T5711), T5712))) → U95_gga(T5711, T5712, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712))))
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735)))) → U96_gga(T5734, T5735, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735)))))
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758))))) → U97_gga(T5757, T5758, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))) → U98_gga(T5780, T5781, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))) → U99_gga(T5803, T5804, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))) → U100_gga(T5826, T5827, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))) → U101_gga(T5840, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, []))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, [])) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, []) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U104_gga(T5901, T5902, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
U101_gga(T5840, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
U100_gga(T5826, T5827, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
U99_gga(T5803, T5804, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
U98_gga(T5780, T5781, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
U97_gga(T5757, T5758, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
U96_gga(T5734, T5735, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
U95_gga(T5711, T5712, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
U94_gga(T5688, T5689, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum55_in_ggga(s(T219), T220, T221) → U3_ggga(T219, T220, T221, sum55_in_ggga(T219, T220, s(T221)))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360) → U4_ggga(T358, T359, T360, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115) → U5_ggga(T4113, T4114, T4115, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146) → U6_ggga(T4144, T4145, T4146, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145)))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177) → U7_ggga(T4175, T4176, T4177, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208) → U8_ggga(T4206, T4207, T4208, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207)))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239) → U9_ggga(T4237, T4238, T4239, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270) → U10_ggga(T4268, T4269, T4270, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283) → U11_ggga(T4282, T4283, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337) → U12_ggga(T4335, T4336, T4337, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368) → U13_ggga(T4366, T4367, T4368, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367)))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399) → U14_ggga(T4397, T4398, T4399, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430) → U15_ggga(T4428, T4429, T4430, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429)))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461) → U16_ggga(T4459, T4460, T4461, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492) → U17_ggga(T4490, T4491, T4492, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505) → U18_ggga(T4504, T4505, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559) → U19_ggga(T4557, T4558, T4559, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590) → U20_ggga(T4588, T4589, T4590, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589)))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621) → U21_ggga(T4619, T4620, T4621, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652) → U22_ggga(T4650, T4651, T4652, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651)))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683) → U23_ggga(T4681, T4682, T4683, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714) → U24_ggga(T4712, T4713, T4714, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727) → U25_ggga(T4726, T4727, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781) → U26_ggga(T4779, T4780, T4781, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812) → U27_ggga(T4810, T4811, T4812, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811)))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843) → U28_ggga(T4841, T4842, T4843, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874) → U29_ggga(T4872, T4873, T4874, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873)))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905) → U30_ggga(T4903, T4904, T4905, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936) → U31_ggga(T4934, T4935, T4936, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949) → U32_ggga(T4948, T4949, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003) → U33_ggga(T5001, T5002, T5003, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034) → U34_ggga(T5032, T5033, T5034, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033)))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065) → U35_ggga(T5063, T5064, T5065, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096) → U36_ggga(T5094, T5095, T5096, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095)))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127) → U37_ggga(T5125, T5126, T5127, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158) → U38_ggga(T5156, T5157, T5158, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171) → U39_ggga(T5170, T5171, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225) → U40_ggga(T5223, T5224, T5225, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224))))
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256) → U41_ggga(T5254, T5255, T5256, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255)))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287) → U42_ggga(T5285, T5286, T5287, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318) → U43_ggga(T5316, T5317, T5318, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317)))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349) → U44_ggga(T5347, T5348, T5349, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380) → U45_ggga(T5378, T5379, T5380, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393) → U46_ggga(T5392, T5393, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447) → U47_ggga(T5445, T5446, T5447, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446))))
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478) → U48_ggga(T5476, T5477, T5478, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477)))))
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509) → U49_ggga(T5507, T5508, T5509, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540) → U50_ggga(T5538, T5539, T5540, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539)))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571) → U51_ggga(T5569, T5570, T5571, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602) → U52_ggga(T5600, T5601, T5602, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615) → U53_ggga(T5614, T5615, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U93_gga(T5665, T5666, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
U53_ggga(T5614, T5615, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
U52_ggga(T5600, T5601, T5602, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
U51_ggga(T5569, T5570, T5571, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
U50_ggga(T5538, T5539, T5540, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
U49_ggga(T5507, T5508, T5509, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
U48_ggga(T5476, T5477, T5478, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
U47_ggga(T5445, T5446, T5447, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
U46_ggga(T5392, T5393, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
U45_ggga(T5378, T5379, T5380, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
U44_ggga(T5347, T5348, T5349, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
U43_ggga(T5316, T5317, T5318, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
U42_ggga(T5285, T5286, T5287, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
U41_ggga(T5254, T5255, T5256, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
U40_ggga(T5223, T5224, T5225, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
U39_ggga(T5170, T5171, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
U38_ggga(T5156, T5157, T5158, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
U37_ggga(T5125, T5126, T5127, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
U36_ggga(T5094, T5095, T5096, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
U35_ggga(T5063, T5064, T5065, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
U34_ggga(T5032, T5033, T5034, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
U33_ggga(T5001, T5002, T5003, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
U32_ggga(T4948, T4949, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
U31_ggga(T4934, T4935, T4936, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
U30_ggga(T4903, T4904, T4905, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
U29_ggga(T4872, T4873, T4874, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
U28_ggga(T4841, T4842, T4843, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
U27_ggga(T4810, T4811, T4812, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
U26_ggga(T4779, T4780, T4781, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
U25_ggga(T4726, T4727, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
U24_ggga(T4712, T4713, T4714, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
U23_ggga(T4681, T4682, T4683, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
U22_ggga(T4650, T4651, T4652, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
U21_ggga(T4619, T4620, T4621, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
U20_ggga(T4588, T4589, T4590, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
U19_ggga(T4557, T4558, T4559, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
U18_ggga(T4504, T4505, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
U17_ggga(T4490, T4491, T4492, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
U16_ggga(T4459, T4460, T4461, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
U15_ggga(T4428, T4429, T4430, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
U14_ggga(T4397, T4398, T4399, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
U13_ggga(T4366, T4367, T4368, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
U12_ggga(T4335, T4336, T4337, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
U11_ggga(T4282, T4283, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
U10_ggga(T4268, T4269, T4270, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
U9_ggga(T4237, T4238, T4239, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
U8_ggga(T4206, T4207, T4208, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
U7_ggga(T4175, T4176, T4177, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
U6_ggga(T4144, T4145, T4146, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
U5_ggga(T4113, T4114, T4115, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum101_in_ggga(s(T380), T381, T382) → U170_ggga(T380, T381, T382, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380)))))))))
sum101_in_ggga(0, .(s(T3891), T3892), T3893) → U171_ggga(T3891, T3892, T3893, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892))))
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924) → U172_ggga(T3922, T3923, T3924, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923)))))
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955) → U173_ggga(T3953, T3954, T3955, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986) → U174_ggga(T3984, T3985, T3986, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985)))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017) → U175_ggga(T4015, T4016, T4017, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048) → U176_ggga(T4046, T4047, T4048, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061) → U177_ggga(T4060, T4061, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
U177_ggga(T4060, T4061, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
U176_ggga(T4046, T4047, T4048, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
U175_ggga(T4015, T4016, T4017, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
U174_ggga(T3984, T3985, T3986, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
U173_ggga(T3953, T3954, T3955, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
U172_ggga(T3922, T3923, T3924, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
U171_ggga(T3891, T3892, T3893, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum107_in_gggga(s(T407), T408, T409, T410) → U54_gggga(T407, T408, T409, T410, sum107_in_gggga(T407, T408, s(T409), T410))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573) → U55_gggga(T570, T571, T572, T573, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573))
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760) → U56_gggga(T3758, T3759, T3760, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758))))
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779) → U57_gggga(T3777, T3778, T3779, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777))))
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798) → U58_gggga(T3796, T3797, T3798, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796))))
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817) → U59_gggga(T3815, T3816, T3817, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815))))
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836) → U60_gggga(T3834, T3835, T3836, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834))))
sum107_in_gggga(0, .(0, T3853), T3854, T3855) → U61_gggga(T3853, T3854, T3855, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853))))
sum107_in_gggga(0, [], T3864, T3865) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U170_ggga(T380, T381, T382, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
U61_gggga(T3853, T3854, T3855, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
U60_gggga(T3834, T3835, T3836, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
U59_gggga(T3815, T3816, T3817, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
U58_gggga(T3796, T3797, T3798, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
U57_gggga(T3777, T3778, T3779, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
U56_gggga(T3758, T3759, T3760, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum147_in_gggga(s(s(T623)), T624, T625, T626) → U178_gggga(T623, T624, T625, T626, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623)))))))))
sum147_in_gggga(s(0), T3720, T3721, T3722) → U179_gggga(T3720, T3721, T3722, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720))))
sum147_in_gggga(0, T3739, T3740, T3741) → U180_gggga(T3739, T3740, T3741, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739))))
U55_gggga(T570, T571, T572, T573, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
U180_gggga(T3739, T3740, T3741, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U179_gggga(T3720, T3721, T3722, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum158_in_ggggga(s(T657), T658, T659, T660, T661) → U62_ggggga(T657, T658, T659, T660, T661, sum158_in_ggggga(T657, T658, s(T659), T660, T661))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836) → U63_ggggga(T832, T833, T834, T835, T836, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836))
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593) → U64_ggggga(T3590, T3591, T3592, T3593, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590)))))
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618) → U65_ggggga(T3615, T3616, T3617, T3618, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615)))))
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643) → U66_ggggga(T3640, T3641, T3642, T3643, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640)))))
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668) → U67_ggggga(T3665, T3666, T3667, T3668, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665)))))
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693) → U68_ggggga(T3690, T3691, T3692, T3693, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690)))))
sum158_in_ggggga(0, [], T3705, T3706, T3707) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U178_gggga(T623, T624, T625, T626, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
U68_ggggga(T3690, T3691, T3692, T3693, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
U67_ggggga(T3665, T3666, T3667, T3668, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
U66_ggggga(T3640, T3641, T3642, T3643, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
U65_ggggga(T3615, T3616, T3617, T3618, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
U64_ggggga(T3590, T3591, T3592, T3593, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932) → U181_ggggga(T928, T929, T930, T931, T932, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928)))))))))
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518) → U182_ggggga(T3515, T3516, T3517, T3518, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515)))))
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543) → U183_ggggga(T3540, T3541, T3542, T3543, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540)))))
sum193_in_ggggga(0, T3565, T3566, T3567, T3568) → U184_ggggga(T3565, T3566, T3567, T3568, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565)))))
U63_ggggga(T832, T833, T834, T835, T836, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
U184_ggggga(T3565, T3566, T3567, T3568, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U183_ggggga(T3540, T3541, T3542, T3543, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
U182_ggggga(T3515, T3516, T3517, T3518, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974) → U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149))
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383))))))
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414))))))
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445))))))
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476))))))
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U181_ggggga(T928, T929, T930, T931, T932, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295)))))))))
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259))))))
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290))))))
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321))))))
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352))))))
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512))
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137)))))))
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174)))))))
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211)))))))
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724)))))))))
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952)))))))
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989)))))))
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026)))))))
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063)))))))
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100)))))))
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925))
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852))))))))
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895))))))))
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215)))))))))
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594))))))))
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637))))))))
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680))))))))
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723))))))))
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766))))))))
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809))))))))
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381)))))))))
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528)))))))))
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U62_ggggga(T657, T658, T659, T660, T661, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U54_gggga(T407, T408, T409, T410, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U3_ggga(T219, T220, T221, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U209_ggga(T6697, T6698, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
U208_ggga(T6495, T6496, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
U207_ggga(T6293, T6294, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
U206_ggga(T6091, T6092, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
U205_ggga(T5889, T5890, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
U204_ggga(T5653, T5654, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum47_in_gggga(s(T181), T182, T183, T184) → U1_gggga(T181, T182, T183, T184, sum47_in_gggga(T181, T182, T183, s(T184)))
sum47_in_gggga(0, T201, T202, T203) → U2_gggga(T201, T202, T203, sum55_in_ggga(T201, T202, T203))
U203_ggga(T154, T155, T156, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
U2_gggga(T201, T202, T203, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)

The set Q consists of the following terms:

sum10_in_ggga(x0, x1, x2)
sum2047_in_gga(x0, x1)
U203_ggga(x0, x1, x2, x3)
U204_ggga(x0, x1, x2)
U205_ggga(x0, x1, x2)
U206_ggga(x0, x1, x2)
U207_ggga(x0, x1, x2)
U208_ggga(x0, x1, x2)
U209_ggga(x0, x1, x2)
U210_ggga(x0, x1, x2)
U211_gga(x0, x1, x2)
U212_gga(x0, x1, x2)
U213_gga(x0, x1, x2)
U214_gga(x0, x1, x2)
U215_gga(x0, x1, x2)
U216_gga(x0, x1, x2)
U217_gga(x0, x1, x2)
U218_gga(x0, x1, x2)
U219_gga(x0, x1)
sum47_in_gggga(x0, x1, x2, x3)
sum1253_in_gga(x0, x1)
sum1373_in_gga(x0, x1)
sum1485_in_gga(x0, x1)
sum1597_in_gga(x0, x1)
sum1709_in_gga(x0, x1)
sum1821_in_gga(x0, x1)
sum1933_in_gga(x0, x1)
sum2007_in_gga(x0, x1)
sum2121_in_gga(x0, x1)
U1_gggga(x0, x1, x2, x3, x4)
U2_gggga(x0, x1, x2, x3)
U93_gga(x0, x1, x2)
U94_gga(x0, x1, x2)
U95_gga(x0, x1, x2)
U96_gga(x0, x1, x2)
U97_gga(x0, x1, x2)
U98_gga(x0, x1, x2)
U99_gga(x0, x1, x2)
U100_gga(x0, x1, x2)
U101_gga(x0, x1)
U104_gga(x0, x1, x2)
U105_gga(x0, x1, x2)
U106_gga(x0, x1, x2)
U107_gga(x0, x1, x2)
U108_gga(x0, x1, x2)
U109_gga(x0, x1, x2)
U110_gga(x0, x1, x2)
U111_gga(x0, x1, x2)
U112_gga(x0, x1)
U115_gga(x0, x1, x2)
U116_gga(x0, x1, x2)
U117_gga(x0, x1, x2)
U118_gga(x0, x1, x2)
U119_gga(x0, x1, x2)
U120_gga(x0, x1, x2)
U121_gga(x0, x1, x2)
U122_gga(x0, x1, x2)
U123_gga(x0, x1)
U126_gga(x0, x1, x2)
U127_gga(x0, x1, x2)
U128_gga(x0, x1, x2)
U129_gga(x0, x1, x2)
U130_gga(x0, x1, x2)
U131_gga(x0, x1, x2)
U132_gga(x0, x1, x2)
U133_gga(x0, x1, x2)
U134_gga(x0, x1)
U137_gga(x0, x1, x2)
U138_gga(x0, x1, x2)
U139_gga(x0, x1, x2)
U140_gga(x0, x1, x2)
U141_gga(x0, x1, x2)
U142_gga(x0, x1, x2)
U143_gga(x0, x1, x2)
U144_gga(x0, x1, x2)
U145_gga(x0, x1)
U148_gga(x0, x1, x2)
U149_gga(x0, x1, x2)
U150_gga(x0, x1, x2)
U151_gga(x0, x1, x2)
U152_gga(x0, x1, x2)
U153_gga(x0, x1, x2)
U154_gga(x0, x1, x2)
U155_gga(x0, x1, x2)
U156_gga(x0, x1)
U159_gga(x0, x1, x2)
U160_gga(x0, x1, x2)
U161_gga(x0, x1, x2)
U162_gga(x0, x1, x2)
U163_gga(x0, x1, x2)
U164_gga(x0, x1, x2)
U165_gga(x0, x1, x2)
U166_gga(x0, x1, x2)
U167_gga(x0, x1)
U157_gga(x0, x1, x2, x3)
U158_gga(x0, x1, x2)
U168_gga(x0, x1, x2, x3)
U169_gga(x0, x1, x2)
sum55_in_ggga(x0, x1, x2)
sum385_in_ggga(x0, x1, x2)
sum1335_in_gga(x0, x1)
sum1447_in_gga(x0, x1)
sum1559_in_gga(x0, x1)
sum1671_in_gga(x0, x1)
sum1783_in_gga(x0, x1)
sum1895_in_gga(x0, x1)
U3_ggga(x0, x1, x2, x3)
U4_ggga(x0, x1, x2, x3)
U5_ggga(x0, x1, x2, x3)
U6_ggga(x0, x1, x2, x3)
U7_ggga(x0, x1, x2, x3)
U8_ggga(x0, x1, x2, x3)
U9_ggga(x0, x1, x2, x3)
U10_ggga(x0, x1, x2, x3)
U11_ggga(x0, x1, x2)
U12_ggga(x0, x1, x2, x3)
U13_ggga(x0, x1, x2, x3)
U14_ggga(x0, x1, x2, x3)
U15_ggga(x0, x1, x2, x3)
U16_ggga(x0, x1, x2, x3)
U17_ggga(x0, x1, x2, x3)
U18_ggga(x0, x1, x2)
U19_ggga(x0, x1, x2, x3)
U20_ggga(x0, x1, x2, x3)
U21_ggga(x0, x1, x2, x3)
U22_ggga(x0, x1, x2, x3)
U23_ggga(x0, x1, x2, x3)
U24_ggga(x0, x1, x2, x3)
U25_ggga(x0, x1, x2)
U26_ggga(x0, x1, x2, x3)
U27_ggga(x0, x1, x2, x3)
U28_ggga(x0, x1, x2, x3)
U29_ggga(x0, x1, x2, x3)
U30_ggga(x0, x1, x2, x3)
U31_ggga(x0, x1, x2, x3)
U32_ggga(x0, x1, x2)
U33_ggga(x0, x1, x2, x3)
U34_ggga(x0, x1, x2, x3)
U35_ggga(x0, x1, x2, x3)
U36_ggga(x0, x1, x2, x3)
U37_ggga(x0, x1, x2, x3)
U38_ggga(x0, x1, x2, x3)
U39_ggga(x0, x1, x2)
U40_ggga(x0, x1, x2, x3)
U41_ggga(x0, x1, x2, x3)
U42_ggga(x0, x1, x2, x3)
U43_ggga(x0, x1, x2, x3)
U44_ggga(x0, x1, x2, x3)
U45_ggga(x0, x1, x2, x3)
U46_ggga(x0, x1, x2)
U47_ggga(x0, x1, x2, x3)
U48_ggga(x0, x1, x2, x3)
U49_ggga(x0, x1, x2, x3)
U50_ggga(x0, x1, x2, x3)
U51_ggga(x0, x1, x2, x3)
U52_ggga(x0, x1, x2, x3)
U53_ggga(x0, x1, x2)
U89_ggga(x0, x1, x2, x3, x4)
U90_ggga(x0, x1, x2, x3)
U91_gga(x0, x1, x2, x3)
U92_gga(x0, x1, x2)
U102_gga(x0, x1, x2, x3)
U103_gga(x0, x1, x2)
U113_gga(x0, x1, x2, x3)
U114_gga(x0, x1, x2)
U124_gga(x0, x1, x2, x3)
U125_gga(x0, x1, x2)
U135_gga(x0, x1, x2, x3)
U136_gga(x0, x1, x2)
U146_gga(x0, x1, x2, x3)
U147_gga(x0, x1, x2)
sum101_in_ggga(x0, x1, x2)
sum377_in_gggga(x0, x1, x2, x3)
U170_ggga(x0, x1, x2, x3)
U171_ggga(x0, x1, x2, x3)
U172_ggga(x0, x1, x2, x3)
U173_ggga(x0, x1, x2, x3)
U174_ggga(x0, x1, x2, x3)
U175_ggga(x0, x1, x2, x3)
U176_ggga(x0, x1, x2, x3)
U177_ggga(x0, x1, x2)
U87_gggga(x0, x1, x2, x3, x4)
U88_gggga(x0, x1, x2, x3)
sum107_in_gggga(x0, x1, x2, x3)
U54_gggga(x0, x1, x2, x3, x4)
U55_gggga(x0, x1, x2, x3, x4)
U56_gggga(x0, x1, x2, x3)
U57_gggga(x0, x1, x2, x3)
U58_gggga(x0, x1, x2, x3)
U59_gggga(x0, x1, x2, x3)
U60_gggga(x0, x1, x2, x3)
U61_gggga(x0, x1, x2, x3)
sum147_in_gggga(x0, x1, x2, x3)
U178_gggga(x0, x1, x2, x3, x4)
U179_gggga(x0, x1, x2, x3)
U180_gggga(x0, x1, x2, x3)
sum158_in_ggggga(x0, x1, x2, x3, x4)
U62_ggggga(x0, x1, x2, x3, x4, x5)
U63_ggggga(x0, x1, x2, x3, x4, x5)
U64_ggggga(x0, x1, x2, x3, x4)
U65_ggggga(x0, x1, x2, x3, x4)
U66_ggggga(x0, x1, x2, x3, x4)
U67_ggggga(x0, x1, x2, x3, x4)
U68_ggggga(x0, x1, x2, x3, x4)
sum193_in_ggggga(x0, x1, x2, x3, x4)
U181_ggggga(x0, x1, x2, x3, x4, x5)
U182_ggggga(x0, x1, x2, x3, x4)
U183_ggggga(x0, x1, x2, x3, x4)
U184_ggggga(x0, x1, x2, x3, x4)
sum209_in_gggggga(x0, x1, x2, x3, x4, x5)
U69_gggggga(x0, x1, x2, x3, x4, x5, x6)
U70_gggggga(x0, x1, x2, x3, x4, x5, x6)
U71_gggggga(x0, x1, x2, x3, x4, x5)
U72_gggggga(x0, x1, x2, x3, x4, x5)
U73_gggggga(x0, x1, x2, x3, x4, x5)
U74_gggggga(x0, x1, x2, x3, x4, x5)
sum239_in_gggggga(x0, x1, x2, x3, x4, x5)
U185_gggggga(x0, x1, x2, x3, x4, x5, x6)
U186_gggggga(x0, x1, x2, x3, x4, x5)
U187_gggggga(x0, x1, x2, x3, x4, x5)
U188_gggggga(x0, x1, x2, x3, x4, x5)
U189_gggggga(x0, x1, x2, x3, x4, x5)
sum260_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U75_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U76_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U77_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U78_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U79_ggggggga(x0, x1, x2, x3, x4, x5, x6)
sum285_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U190_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U191_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U192_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U193_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U194_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U195_ggggggga(x0, x1, x2, x3, x4, x5, x6)
sum311_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U80_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U81_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U82_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U83_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
sum331_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U196_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U197_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U198_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U199_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U200_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U201_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U202_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
sum362_in_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U84_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U85_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U86_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)

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

(269) QReductionProof (EQUIVALENT transformation)

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

sum2047_in_gga(x0, x1)
U211_gga(x0, x1, x2)
U212_gga(x0, x1, x2)
U213_gga(x0, x1, x2)
U214_gga(x0, x1, x2)
U215_gga(x0, x1, x2)
U216_gga(x0, x1, x2)
U217_gga(x0, x1, x2)
U218_gga(x0, x1, x2)
U219_gga(x0, x1)
sum2121_in_gga(x0, x1)
U168_gga(x0, x1, x2, x3)
U169_gga(x0, x1, x2)

(270) Obligation:

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

U221_GA(T24, T25, T26, sum10_out_ggga(T24, T25, T26, T30)) → WEIGHT1_IN_GA(T30)
WEIGHT1_IN_GA(.(s(T24), .(T25, T26))) → U221_GA(T24, T25, T26, sum10_in_ggga(T24, T25, T26))

The TRS R consists of the following rules:

sum10_in_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156) → U203_ggga(T154, T155, T156, sum47_in_gggga(T154, T155, T156, s(s(s(s(s(s(s(0)))))))))
sum10_in_ggga(s(s(s(s(s(s(0)))))), T5653, T5654) → U204_ggga(T5653, T5654, sum1253_in_gga(T5653, T5654))
sum10_in_ggga(s(s(s(s(s(0))))), T5889, T5890) → U205_ggga(T5889, T5890, sum1373_in_gga(T5889, T5890))
sum10_in_ggga(s(s(s(s(0)))), T6091, T6092) → U206_ggga(T6091, T6092, sum1485_in_gga(T6091, T6092))
sum10_in_ggga(s(s(s(0))), T6293, T6294) → U207_ggga(T6293, T6294, sum1597_in_gga(T6293, T6294))
sum10_in_ggga(s(s(0)), T6495, T6496) → U208_ggga(T6495, T6496, sum1709_in_gga(T6495, T6496))
sum10_in_ggga(s(0), T6697, T6698) → U209_ggga(T6697, T6698, sum1821_in_gga(T6697, T6698))
sum10_in_ggga(0, T6899, T6900) → U210_ggga(T6899, T6900, sum1933_in_gga(T6899, T6900))
sum1933_in_gga(s(T6911), T6912) → U159_gga(T6911, T6912, sum1821_in_gga(T6911, T6912))
sum1933_in_gga(0, .(s(T6930), T6931)) → U160_gga(T6930, T6931, sum1895_in_gga(.(T6930, T6931), .(s(T6930), T6931)))
sum1933_in_gga(0, .(0, .(s(T6949), T6950))) → U161_gga(T6949, T6950, sum1895_in_gga(.(T6949, T6950), .(0, .(s(T6949), T6950))))
sum1933_in_gga(0, .(0, .(0, .(s(T6968), T6969)))) → U162_gga(T6968, T6969, sum1895_in_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969)))))
sum1933_in_gga(0, .(0, .(0, .(0, .(s(T6987), T6988))))) → U163_gga(T6987, T6988, sum1895_in_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))) → U164_gga(T7006, T7007, sum1895_in_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007)))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))) → U165_gga(T7025, T7026, sum1895_in_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))) → U166_gga(T7044, T7045, sum1895_in_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))) → U167_gga(T7052, sum2007_in_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052)))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1933_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(0), .(0, .(0, .(0, .(0, []))))))
sum1933_in_gga(0, .(0, .(0, .(0, [])))) → sum1933_out_gga(0, .(0, .(0, .(0, []))), .(s(0), .(0, .(0, .(0, [])))))
sum1933_in_gga(0, .(0, .(0, []))) → sum1933_out_gga(0, .(0, .(0, [])), .(s(0), .(0, .(0, []))))
sum1933_in_gga(0, .(0, [])) → sum1933_out_gga(0, .(0, []), .(s(0), .(0, [])))
sum1933_in_gga(0, []) → sum1933_out_gga(0, [], .(s(0), []))
U210_ggga(T6899, T6900, sum1933_out_gga(T6899, T6900, X12506)) → sum10_out_ggga(0, T6899, T6900, X12506)
sum2007_in_gga(.(s(T7071), T7072), T7073) → U157_gga(T7071, T7072, T7073, sum1895_in_gga(.(T7071, T7072), T7073))
sum2007_in_gga(.(0, T7085), T7086) → U158_gga(T7085, T7086, sum2007_in_gga(T7085, T7086))
sum2007_in_gga([], T7092) → sum2007_out_gga([], T7092, .(s(0), T7092))
U167_gga(T7052, sum2007_out_gga(T7052, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T7052))))))), X13066)
U158_gga(T7085, T7086, sum2007_out_gga(T7085, T7086, X13142)) → sum2007_out_gga(.(0, T7085), T7086, X13142)
sum1895_in_gga(.(s(T6869), T6870), T6871) → U146_gga(T6869, T6870, T6871, sum1783_in_gga(.(T6869, T6870), T6871))
sum1895_in_gga(.(0, T6883), T6884) → U147_gga(T6883, T6884, sum1895_in_gga(T6883, T6884))
U157_gga(T7071, T7072, T7073, sum1895_out_gga(.(T7071, T7072), T7073, X13111)) → sum2007_out_gga(.(s(T7071), T7072), T7073, X13111)
sum1895_in_gga([], T6890) → sum1895_out_gga([], T6890, .(s(s(0)), T6890))
U147_gga(T6883, T6884, sum1895_out_gga(T6883, T6884, X12443)) → sum1895_out_gga(.(0, T6883), T6884, X12443)
sum1783_in_gga(.(s(T6667), T6668), T6669) → U135_gga(T6667, T6668, T6669, sum1671_in_gga(.(T6667, T6668), T6669))
sum1783_in_gga(.(0, T6681), T6682) → U136_gga(T6681, T6682, sum1783_in_gga(T6681, T6682))
U146_gga(T6869, T6870, T6871, sum1783_out_gga(.(T6869, T6870), T6871, X12412)) → sum1895_out_gga(.(s(T6869), T6870), T6871, X12412)
sum1783_in_gga([], T6688) → sum1783_out_gga([], T6688, .(s(s(s(0))), T6688))
U136_gga(T6681, T6682, sum1783_out_gga(T6681, T6682, X11744)) → sum1783_out_gga(.(0, T6681), T6682, X11744)
sum1671_in_gga(.(s(T6465), T6466), T6467) → U124_gga(T6465, T6466, T6467, sum1559_in_gga(.(T6465, T6466), T6467))
sum1671_in_gga(.(0, T6479), T6480) → U125_gga(T6479, T6480, sum1671_in_gga(T6479, T6480))
U135_gga(T6667, T6668, T6669, sum1671_out_gga(.(T6667, T6668), T6669, X11713)) → sum1783_out_gga(.(s(T6667), T6668), T6669, X11713)
sum1671_in_gga([], T6486) → sum1671_out_gga([], T6486, .(s(s(s(s(0)))), T6486))
U125_gga(T6479, T6480, sum1671_out_gga(T6479, T6480, X11045)) → sum1671_out_gga(.(0, T6479), T6480, X11045)
sum1559_in_gga(.(s(T6263), T6264), T6265) → U113_gga(T6263, T6264, T6265, sum1447_in_gga(.(T6263, T6264), T6265))
sum1559_in_gga(.(0, T6277), T6278) → U114_gga(T6277, T6278, sum1559_in_gga(T6277, T6278))
U124_gga(T6465, T6466, T6467, sum1559_out_gga(.(T6465, T6466), T6467, X11014)) → sum1671_out_gga(.(s(T6465), T6466), T6467, X11014)
sum1559_in_gga([], T6284) → sum1559_out_gga([], T6284, .(s(s(s(s(s(0))))), T6284))
U114_gga(T6277, T6278, sum1559_out_gga(T6277, T6278, X10346)) → sum1559_out_gga(.(0, T6277), T6278, X10346)
sum1447_in_gga(.(s(T6061), T6062), T6063) → U102_gga(T6061, T6062, T6063, sum1335_in_gga(.(T6061, T6062), T6063))
sum1447_in_gga(.(0, T6075), T6076) → U103_gga(T6075, T6076, sum1447_in_gga(T6075, T6076))
U113_gga(T6263, T6264, T6265, sum1447_out_gga(.(T6263, T6264), T6265, X10315)) → sum1559_out_gga(.(s(T6263), T6264), T6265, X10315)
sum1447_in_gga([], T6082) → sum1447_out_gga([], T6082, .(s(s(s(s(s(s(0)))))), T6082))
U103_gga(T6075, T6076, sum1447_out_gga(T6075, T6076, X9647)) → sum1447_out_gga(.(0, T6075), T6076, X9647)
sum1335_in_gga(.(s(T5859), T5860), T5861) → U91_gga(T5859, T5860, T5861, sum385_in_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861))
sum1335_in_gga(.(0, T5873), T5874) → U92_gga(T5873, T5874, sum1335_in_gga(T5873, T5874))
U102_gga(T6061, T6062, T6063, sum1335_out_gga(.(T6061, T6062), T6063, X9616)) → sum1447_out_gga(.(s(T6061), T6062), T6063, X9616)
sum1335_in_gga([], T5880) → sum1335_out_gga([], T5880, .(s(s(s(s(s(s(s(0))))))), T5880))
U92_gga(T5873, T5874, sum1335_out_gga(T5873, T5874, X8948)) → sum1335_out_gga(.(0, T5873), T5874, X8948)
sum385_in_ggga(.(s(T2463), T2464), T2465, T2466) → U89_ggga(T2463, T2464, T2465, T2466, sum377_in_gggga(T2463, T2464, s(T2465), T2466))
sum385_in_ggga(.(0, T2483), T2484, T2485) → U90_ggga(T2483, T2484, T2485, sum385_in_ggga(T2483, T2484, T2485))
U91_gga(T5859, T5860, T5861, sum385_out_ggga(.(T5859, T5860), s(s(s(s(s(s(s(0))))))), T5861, X8917)) → sum1335_out_gga(.(s(T5859), T5860), T5861, X8917)
sum385_in_ggga([], T2494, T2495) → sum385_out_ggga([], T2494, T2495, .(s(T2494), T2495))
U90_ggga(T2483, T2484, T2485, sum385_out_ggga(T2483, T2484, T2485, X3131)) → sum385_out_ggga(.(0, T2483), T2484, T2485, X3131)
sum377_in_gggga(s(T2420), T2421, T2422, T2423) → U87_gggga(T2420, T2421, T2422, T2423, sum377_in_gggga(T2420, T2421, s(T2422), T2423))
sum377_in_gggga(0, T2440, T2441, T2442) → U88_gggga(T2440, T2441, T2442, sum385_in_ggga(T2440, T2441, T2442))
U89_ggga(T2463, T2464, T2465, T2466, sum377_out_gggga(T2463, T2464, s(T2465), T2466, X3100)) → sum385_out_ggga(.(s(T2463), T2464), T2465, T2466, X3100)
U88_gggga(T2440, T2441, T2442, sum385_out_ggga(T2440, T2441, T2442, X3061)) → sum377_out_gggga(0, T2440, T2441, T2442, X3061)
U87_gggga(T2420, T2421, T2422, T2423, sum377_out_gggga(T2420, T2421, s(T2422), T2423, X3030)) → sum377_out_gggga(s(T2420), T2421, T2422, T2423, X3030)
U166_gga(T7044, T7045, sum1895_out_gga(.(T7044, T7045), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T7044), T7045))))))), X13035)
U165_gga(T7025, T7026, sum1895_out_gga(.(T7025, T7026), .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T7025), T7026)))))), X12965)
U164_gga(T7006, T7007, sum1895_out_gga(.(T7006, T7007), .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)) → sum1933_out_gga(0, .(0, .(0, .(0, .(0, .(s(T7006), T7007))))), X12895)
U163_gga(T6987, T6988, sum1895_out_gga(.(T6987, T6988), .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)) → sum1933_out_gga(0, .(0, .(0, .(0, .(s(T6987), T6988)))), X12825)
U162_gga(T6968, T6969, sum1895_out_gga(.(T6968, T6969), .(0, .(0, .(s(T6968), T6969))), X12755)) → sum1933_out_gga(0, .(0, .(0, .(s(T6968), T6969))), X12755)
U161_gga(T6949, T6950, sum1895_out_gga(.(T6949, T6950), .(0, .(s(T6949), T6950)), X12685)) → sum1933_out_gga(0, .(0, .(s(T6949), T6950)), X12685)
U160_gga(T6930, T6931, sum1895_out_gga(.(T6930, T6931), .(s(T6930), T6931), X12615)) → sum1933_out_gga(0, .(s(T6930), T6931), X12615)
sum1821_in_gga(s(T6709), T6710) → U148_gga(T6709, T6710, sum1709_in_gga(T6709, T6710))
sum1821_in_gga(0, .(s(T6728), T6729)) → U149_gga(T6728, T6729, sum1783_in_gga(.(T6728, T6729), .(s(T6728), T6729)))
sum1821_in_gga(0, .(0, .(s(T6747), T6748))) → U150_gga(T6747, T6748, sum1783_in_gga(.(T6747, T6748), .(0, .(s(T6747), T6748))))
sum1821_in_gga(0, .(0, .(0, .(s(T6766), T6767)))) → U151_gga(T6766, T6767, sum1783_in_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767)))))
sum1821_in_gga(0, .(0, .(0, .(0, .(s(T6785), T6786))))) → U152_gga(T6785, T6786, sum1783_in_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))) → U153_gga(T6804, T6805, sum1783_in_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805)))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))) → U154_gga(T6823, T6824, sum1783_in_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))) → U155_gga(T6842, T6843, sum1783_in_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))) → U156_gga(T6850, sum1895_in_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850)))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1821_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(0)), .(0, .(0, .(0, .(0, []))))))
sum1821_in_gga(0, .(0, .(0, .(0, [])))) → sum1821_out_gga(0, .(0, .(0, .(0, []))), .(s(s(0)), .(0, .(0, .(0, [])))))
sum1821_in_gga(0, .(0, .(0, []))) → sum1821_out_gga(0, .(0, .(0, [])), .(s(s(0)), .(0, .(0, []))))
sum1821_in_gga(0, .(0, [])) → sum1821_out_gga(0, .(0, []), .(s(s(0)), .(0, [])))
sum1821_in_gga(0, []) → sum1821_out_gga(0, [], .(s(s(0)), []))
U159_gga(T6911, T6912, sum1821_out_gga(T6911, T6912, X12545)) → sum1933_out_gga(s(T6911), T6912, X12545)
U156_gga(T6850, sum1895_out_gga(T6850, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6850))))))), X12367)
U155_gga(T6842, T6843, sum1783_out_gga(.(T6842, T6843), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6842), T6843))))))), X12336)
U154_gga(T6823, T6824, sum1783_out_gga(.(T6823, T6824), .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6823), T6824)))))), X12266)
U153_gga(T6804, T6805, sum1783_out_gga(.(T6804, T6805), .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)) → sum1821_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6804), T6805))))), X12196)
U152_gga(T6785, T6786, sum1783_out_gga(.(T6785, T6786), .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)) → sum1821_out_gga(0, .(0, .(0, .(0, .(s(T6785), T6786)))), X12126)
U151_gga(T6766, T6767, sum1783_out_gga(.(T6766, T6767), .(0, .(0, .(s(T6766), T6767))), X12056)) → sum1821_out_gga(0, .(0, .(0, .(s(T6766), T6767))), X12056)
U150_gga(T6747, T6748, sum1783_out_gga(.(T6747, T6748), .(0, .(s(T6747), T6748)), X11986)) → sum1821_out_gga(0, .(0, .(s(T6747), T6748)), X11986)
U149_gga(T6728, T6729, sum1783_out_gga(.(T6728, T6729), .(s(T6728), T6729), X11916)) → sum1821_out_gga(0, .(s(T6728), T6729), X11916)
sum1709_in_gga(s(T6507), T6508) → U137_gga(T6507, T6508, sum1597_in_gga(T6507, T6508))
sum1709_in_gga(0, .(s(T6526), T6527)) → U138_gga(T6526, T6527, sum1671_in_gga(.(T6526, T6527), .(s(T6526), T6527)))
sum1709_in_gga(0, .(0, .(s(T6545), T6546))) → U139_gga(T6545, T6546, sum1671_in_gga(.(T6545, T6546), .(0, .(s(T6545), T6546))))
sum1709_in_gga(0, .(0, .(0, .(s(T6564), T6565)))) → U140_gga(T6564, T6565, sum1671_in_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565)))))
sum1709_in_gga(0, .(0, .(0, .(0, .(s(T6583), T6584))))) → U141_gga(T6583, T6584, sum1671_in_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))) → U142_gga(T6602, T6603, sum1671_in_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603)))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))) → U143_gga(T6621, T6622, sum1671_in_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))) → U144_gga(T6640, T6641, sum1671_in_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))) → U145_gga(T6648, sum1783_in_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648)))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1709_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))))
sum1709_in_gga(0, .(0, .(0, .(0, [])))) → sum1709_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(0))), .(0, .(0, .(0, [])))))
sum1709_in_gga(0, .(0, .(0, []))) → sum1709_out_gga(0, .(0, .(0, [])), .(s(s(s(0))), .(0, .(0, []))))
sum1709_in_gga(0, .(0, [])) → sum1709_out_gga(0, .(0, []), .(s(s(s(0))), .(0, [])))
sum1709_in_gga(0, []) → sum1709_out_gga(0, [], .(s(s(s(0))), []))
U148_gga(T6709, T6710, sum1709_out_gga(T6709, T6710, X11846)) → sum1821_out_gga(s(T6709), T6710, X11846)
U145_gga(T6648, sum1783_out_gga(T6648, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6648))))))), X11668)
U144_gga(T6640, T6641, sum1671_out_gga(.(T6640, T6641), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6640), T6641))))))), X11637)
U143_gga(T6621, T6622, sum1671_out_gga(.(T6621, T6622), .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6621), T6622)))))), X11567)
U142_gga(T6602, T6603, sum1671_out_gga(.(T6602, T6603), .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)) → sum1709_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6602), T6603))))), X11497)
U141_gga(T6583, T6584, sum1671_out_gga(.(T6583, T6584), .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)) → sum1709_out_gga(0, .(0, .(0, .(0, .(s(T6583), T6584)))), X11427)
U140_gga(T6564, T6565, sum1671_out_gga(.(T6564, T6565), .(0, .(0, .(s(T6564), T6565))), X11357)) → sum1709_out_gga(0, .(0, .(0, .(s(T6564), T6565))), X11357)
U139_gga(T6545, T6546, sum1671_out_gga(.(T6545, T6546), .(0, .(s(T6545), T6546)), X11287)) → sum1709_out_gga(0, .(0, .(s(T6545), T6546)), X11287)
U138_gga(T6526, T6527, sum1671_out_gga(.(T6526, T6527), .(s(T6526), T6527), X11217)) → sum1709_out_gga(0, .(s(T6526), T6527), X11217)
sum1597_in_gga(s(T6305), T6306) → U126_gga(T6305, T6306, sum1485_in_gga(T6305, T6306))
sum1597_in_gga(0, .(s(T6324), T6325)) → U127_gga(T6324, T6325, sum1559_in_gga(.(T6324, T6325), .(s(T6324), T6325)))
sum1597_in_gga(0, .(0, .(s(T6343), T6344))) → U128_gga(T6343, T6344, sum1559_in_gga(.(T6343, T6344), .(0, .(s(T6343), T6344))))
sum1597_in_gga(0, .(0, .(0, .(s(T6362), T6363)))) → U129_gga(T6362, T6363, sum1559_in_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363)))))
sum1597_in_gga(0, .(0, .(0, .(0, .(s(T6381), T6382))))) → U130_gga(T6381, T6382, sum1559_in_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))) → U131_gga(T6400, T6401, sum1559_in_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401)))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))) → U132_gga(T6419, T6420, sum1559_in_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))) → U133_gga(T6438, T6439, sum1559_in_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))) → U134_gga(T6446, sum1671_in_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446)))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1597_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))))
sum1597_in_gga(0, .(0, .(0, .(0, [])))) → sum1597_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(0)))), .(0, .(0, .(0, [])))))
sum1597_in_gga(0, .(0, .(0, []))) → sum1597_out_gga(0, .(0, .(0, [])), .(s(s(s(s(0)))), .(0, .(0, []))))
sum1597_in_gga(0, .(0, [])) → sum1597_out_gga(0, .(0, []), .(s(s(s(s(0)))), .(0, [])))
sum1597_in_gga(0, []) → sum1597_out_gga(0, [], .(s(s(s(s(0)))), []))
U137_gga(T6507, T6508, sum1597_out_gga(T6507, T6508, X11147)) → sum1709_out_gga(s(T6507), T6508, X11147)
U134_gga(T6446, sum1671_out_gga(T6446, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6446))))))), X10969)
U133_gga(T6438, T6439, sum1559_out_gga(.(T6438, T6439), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6438), T6439))))))), X10938)
U132_gga(T6419, T6420, sum1559_out_gga(.(T6419, T6420), .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6419), T6420)))))), X10868)
U131_gga(T6400, T6401, sum1559_out_gga(.(T6400, T6401), .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)) → sum1597_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6400), T6401))))), X10798)
U130_gga(T6381, T6382, sum1559_out_gga(.(T6381, T6382), .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)) → sum1597_out_gga(0, .(0, .(0, .(0, .(s(T6381), T6382)))), X10728)
U129_gga(T6362, T6363, sum1559_out_gga(.(T6362, T6363), .(0, .(0, .(s(T6362), T6363))), X10658)) → sum1597_out_gga(0, .(0, .(0, .(s(T6362), T6363))), X10658)
U128_gga(T6343, T6344, sum1559_out_gga(.(T6343, T6344), .(0, .(s(T6343), T6344)), X10588)) → sum1597_out_gga(0, .(0, .(s(T6343), T6344)), X10588)
U127_gga(T6324, T6325, sum1559_out_gga(.(T6324, T6325), .(s(T6324), T6325), X10518)) → sum1597_out_gga(0, .(s(T6324), T6325), X10518)
sum1485_in_gga(s(T6103), T6104) → U115_gga(T6103, T6104, sum1373_in_gga(T6103, T6104))
sum1485_in_gga(0, .(s(T6122), T6123)) → U116_gga(T6122, T6123, sum1447_in_gga(.(T6122, T6123), .(s(T6122), T6123)))
sum1485_in_gga(0, .(0, .(s(T6141), T6142))) → U117_gga(T6141, T6142, sum1447_in_gga(.(T6141, T6142), .(0, .(s(T6141), T6142))))
sum1485_in_gga(0, .(0, .(0, .(s(T6160), T6161)))) → U118_gga(T6160, T6161, sum1447_in_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161)))))
sum1485_in_gga(0, .(0, .(0, .(0, .(s(T6179), T6180))))) → U119_gga(T6179, T6180, sum1447_in_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))) → U120_gga(T6198, T6199, sum1447_in_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199)))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))) → U121_gga(T6217, T6218, sum1447_in_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))) → U122_gga(T6236, T6237, sum1447_in_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))) → U123_gga(T6244, sum1559_in_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244)))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1485_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))))
sum1485_in_gga(0, .(0, .(0, .(0, [])))) → sum1485_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))))
sum1485_in_gga(0, .(0, .(0, []))) → sum1485_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(0))))), .(0, .(0, []))))
sum1485_in_gga(0, .(0, [])) → sum1485_out_gga(0, .(0, []), .(s(s(s(s(s(0))))), .(0, [])))
sum1485_in_gga(0, []) → sum1485_out_gga(0, [], .(s(s(s(s(s(0))))), []))
U126_gga(T6305, T6306, sum1485_out_gga(T6305, T6306, X10448)) → sum1597_out_gga(s(T6305), T6306, X10448)
U123_gga(T6244, sum1559_out_gga(T6244, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6244))))))), X10270)
U122_gga(T6236, T6237, sum1447_out_gga(.(T6236, T6237), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6236), T6237))))))), X10239)
U121_gga(T6217, T6218, sum1447_out_gga(.(T6217, T6218), .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6217), T6218)))))), X10169)
U120_gga(T6198, T6199, sum1447_out_gga(.(T6198, T6199), .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)) → sum1485_out_gga(0, .(0, .(0, .(0, .(0, .(s(T6198), T6199))))), X10099)
U119_gga(T6179, T6180, sum1447_out_gga(.(T6179, T6180), .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)) → sum1485_out_gga(0, .(0, .(0, .(0, .(s(T6179), T6180)))), X10029)
U118_gga(T6160, T6161, sum1447_out_gga(.(T6160, T6161), .(0, .(0, .(s(T6160), T6161))), X9959)) → sum1485_out_gga(0, .(0, .(0, .(s(T6160), T6161))), X9959)
U117_gga(T6141, T6142, sum1447_out_gga(.(T6141, T6142), .(0, .(s(T6141), T6142)), X9889)) → sum1485_out_gga(0, .(0, .(s(T6141), T6142)), X9889)
U116_gga(T6122, T6123, sum1447_out_gga(.(T6122, T6123), .(s(T6122), T6123), X9819)) → sum1485_out_gga(0, .(s(T6122), T6123), X9819)
sum1373_in_gga(s(T5901), T5902) → U104_gga(T5901, T5902, sum1253_in_gga(T5901, T5902))
sum1373_in_gga(0, .(s(T5920), T5921)) → U105_gga(T5920, T5921, sum1335_in_gga(.(T5920, T5921), .(s(T5920), T5921)))
sum1373_in_gga(0, .(0, .(s(T5939), T5940))) → U106_gga(T5939, T5940, sum1335_in_gga(.(T5939, T5940), .(0, .(s(T5939), T5940))))
sum1373_in_gga(0, .(0, .(0, .(s(T5958), T5959)))) → U107_gga(T5958, T5959, sum1335_in_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959)))))
sum1373_in_gga(0, .(0, .(0, .(0, .(s(T5977), T5978))))) → U108_gga(T5977, T5978, sum1335_in_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))) → U109_gga(T5996, T5997, sum1335_in_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997)))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))) → U110_gga(T6015, T6016, sum1335_in_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))) → U111_gga(T6034, T6035, sum1335_in_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))) → U112_gga(T6042, sum1447_in_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042)))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1373_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))))
sum1373_in_gga(0, .(0, .(0, .(0, [])))) → sum1373_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))))
sum1373_in_gga(0, .(0, .(0, []))) → sum1373_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(0)))))), .(0, .(0, []))))
sum1373_in_gga(0, .(0, [])) → sum1373_out_gga(0, .(0, []), .(s(s(s(s(s(s(0)))))), .(0, [])))
sum1373_in_gga(0, []) → sum1373_out_gga(0, [], .(s(s(s(s(s(s(0)))))), []))
U115_gga(T6103, T6104, sum1373_out_gga(T6103, T6104, X9749)) → sum1485_out_gga(s(T6103), T6104, X9749)
U112_gga(T6042, sum1447_out_gga(T6042, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T6042))))))), X9571)
U111_gga(T6034, T6035, sum1335_out_gga(.(T6034, T6035), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T6034), T6035))))))), X9540)
U110_gga(T6015, T6016, sum1335_out_gga(.(T6015, T6016), .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T6015), T6016)))))), X9470)
U109_gga(T5996, T5997, sum1335_out_gga(.(T5996, T5997), .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)) → sum1373_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5996), T5997))))), X9400)
U108_gga(T5977, T5978, sum1335_out_gga(.(T5977, T5978), .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)) → sum1373_out_gga(0, .(0, .(0, .(0, .(s(T5977), T5978)))), X9330)
U107_gga(T5958, T5959, sum1335_out_gga(.(T5958, T5959), .(0, .(0, .(s(T5958), T5959))), X9260)) → sum1373_out_gga(0, .(0, .(0, .(s(T5958), T5959))), X9260)
U106_gga(T5939, T5940, sum1335_out_gga(.(T5939, T5940), .(0, .(s(T5939), T5940)), X9190)) → sum1373_out_gga(0, .(0, .(s(T5939), T5940)), X9190)
U105_gga(T5920, T5921, sum1335_out_gga(.(T5920, T5921), .(s(T5920), T5921), X9120)) → sum1373_out_gga(0, .(s(T5920), T5921), X9120)
sum1253_in_gga(s(T5665), T5666) → U93_gga(T5665, T5666, sum55_in_ggga(T5665, T5666, s(s(s(s(s(s(s(0)))))))))
sum1253_in_gga(0, .(s(T5688), T5689)) → U94_gga(T5688, T5689, sum385_in_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689)))
sum1253_in_gga(0, .(0, .(s(T5711), T5712))) → U95_gga(T5711, T5712, sum385_in_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712))))
sum1253_in_gga(0, .(0, .(0, .(s(T5734), T5735)))) → U96_gga(T5734, T5735, sum385_in_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735)))))
sum1253_in_gga(0, .(0, .(0, .(0, .(s(T5757), T5758))))) → U97_gga(T5757, T5758, sum385_in_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))) → U98_gga(T5780, T5781, sum385_in_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781)))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))) → U99_gga(T5803, T5804, sum385_in_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))) → U100_gga(T5826, T5827, sum385_in_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))) → U101_gga(T5840, sum1335_in_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840)))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, []))))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, .(0, [])))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, []))))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, [])))))))
sum1253_in_gga(0, .(0, .(0, .(0, .(0, []))))) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, [])))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, []))))))
sum1253_in_gga(0, .(0, .(0, .(0, [])))) → sum1253_out_gga(0, .(0, .(0, .(0, []))), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, [])))))
sum1253_in_gga(0, .(0, .(0, []))) → sum1253_out_gga(0, .(0, .(0, [])), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, []))))
sum1253_in_gga(0, .(0, [])) → sum1253_out_gga(0, .(0, []), .(s(s(s(s(s(s(s(0))))))), .(0, [])))
sum1253_in_gga(0, []) → sum1253_out_gga(0, [], .(s(s(s(s(s(s(s(0))))))), []))
U104_gga(T5901, T5902, sum1253_out_gga(T5901, T5902, X9050)) → sum1373_out_gga(s(T5901), T5902, X9050)
U101_gga(T5840, sum1335_out_gga(T5840, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5840))))))), X8872)
U100_gga(T5826, T5827, sum385_out_ggga(.(T5826, T5827), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5826), T5827))))))), X8835)
U99_gga(T5803, T5804, sum385_out_ggga(.(T5803, T5804), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5803), T5804)))))), X8759)
U98_gga(T5780, T5781, sum385_out_ggga(.(T5780, T5781), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)) → sum1253_out_gga(0, .(0, .(0, .(0, .(0, .(s(T5780), T5781))))), X8683)
U97_gga(T5757, T5758, sum385_out_ggga(.(T5757, T5758), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)) → sum1253_out_gga(0, .(0, .(0, .(0, .(s(T5757), T5758)))), X8607)
U96_gga(T5734, T5735, sum385_out_ggga(.(T5734, T5735), s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T5734), T5735))), X8531)) → sum1253_out_gga(0, .(0, .(0, .(s(T5734), T5735))), X8531)
U95_gga(T5711, T5712, sum385_out_ggga(.(T5711, T5712), s(s(s(s(s(s(s(0))))))), .(0, .(s(T5711), T5712)), X8455)) → sum1253_out_gga(0, .(0, .(s(T5711), T5712)), X8455)
U94_gga(T5688, T5689, sum385_out_ggga(.(T5688, T5689), s(s(s(s(s(s(s(0))))))), .(s(T5688), T5689), X8379)) → sum1253_out_gga(0, .(s(T5688), T5689), X8379)
sum55_in_ggga(s(T219), T220, T221) → U3_ggga(T219, T220, T221, sum55_in_ggga(T219, T220, s(T221)))
sum55_in_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360) → U4_ggga(T358, T359, T360, sum101_in_ggga(T358, T359, s(s(s(s(s(s(s(T360)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115) → U5_ggga(T4113, T4114, T4115, sum385_in_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146) → U6_ggga(T4144, T4145, T4146, sum385_in_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145)))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177) → U7_ggga(T4175, T4176, T4177, sum385_in_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208) → U8_ggga(T4206, T4207, T4208, sum385_in_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207)))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239) → U9_ggga(T4237, T4238, T4239, sum385_in_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270) → U10_ggga(T4268, T4269, T4270, sum385_in_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283) → U11_ggga(T4282, T4283, sum385_in_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4294, .(s(s(s(s(s(s(s(T4294))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, []))))), T4297, .(s(s(s(s(s(s(s(T4297))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, [])))), T4300, .(s(s(s(s(s(s(s(T4300))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, []))), T4303, .(s(s(s(s(s(s(s(T4303))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, [])), T4306, .(s(s(s(s(s(s(s(T4306))))))), .(s(s(s(s(s(s(0)))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), []), T4309, .(s(s(s(s(s(s(s(T4309))))))), .(s(s(s(s(s(s(0)))))), [])))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337) → U12_ggga(T4335, T4336, T4337, sum385_in_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368) → U13_ggga(T4366, T4367, T4368, sum385_in_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367)))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399) → U14_ggga(T4397, T4398, T4399, sum385_in_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430) → U15_ggga(T4428, T4429, T4430, sum385_in_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429)))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461) → U16_ggga(T4459, T4460, T4461, sum385_in_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492) → U17_ggga(T4490, T4491, T4492, sum385_in_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505) → U18_ggga(T4504, T4505, sum385_in_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504)))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, [])))))), T4516, .(s(s(s(s(s(s(T4516)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, []))))), T4519, .(s(s(s(s(s(s(T4519)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, [])))), T4522, .(s(s(s(s(s(s(T4522)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, []))), T4525, .(s(s(s(s(s(s(T4525)))))), .(s(s(s(s(s(0))))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, [])), T4528, .(s(s(s(s(s(s(T4528)))))), .(s(s(s(s(s(0))))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(s(0))))), []), T4531) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), []), T4531, .(s(s(s(s(s(s(T4531)))))), .(s(s(s(s(s(0))))), [])))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559) → U19_ggga(T4557, T4558, T4559, sum385_in_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590) → U20_ggga(T4588, T4589, T4590, sum385_in_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589)))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621) → U21_ggga(T4619, T4620, T4621, sum385_in_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652) → U22_ggga(T4650, T4651, T4652, sum385_in_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651)))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683) → U23_ggga(T4681, T4682, T4683, sum385_in_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714) → U24_ggga(T4712, T4713, T4714, sum385_in_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727) → U25_ggga(T4726, T4727, sum385_in_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726)))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, [])))))), T4738, .(s(s(s(s(s(T4738))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, []))))), T4741, .(s(s(s(s(s(T4741))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, [])))), T4744, .(s(s(s(s(s(T4744))))), .(s(s(s(s(0)))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, []))), T4747, .(s(s(s(s(s(T4747))))), .(s(s(s(s(0)))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, [])), T4750, .(s(s(s(s(s(T4750))))), .(s(s(s(s(0)))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(s(0)))), []), T4753) → sum55_out_ggga(0, .(s(s(s(s(0)))), []), T4753, .(s(s(s(s(s(T4753))))), .(s(s(s(s(0)))), [])))
sum55_in_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781) → U26_ggga(T4779, T4780, T4781, sum385_in_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812) → U27_ggga(T4810, T4811, T4812, sum385_in_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811)))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843) → U28_ggga(T4841, T4842, T4843, sum385_in_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874) → U29_ggga(T4872, T4873, T4874, sum385_in_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873)))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905) → U30_ggga(T4903, T4904, T4905, sum385_in_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936) → U31_ggga(T4934, T4935, T4936, sum385_in_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949) → U32_ggga(T4948, T4949, sum385_in_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948)))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, [])))))), T4960, .(s(s(s(s(T4960)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, []))))), T4963, .(s(s(s(s(T4963)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, [])))), T4966, .(s(s(s(s(T4966)))), .(s(s(s(0))), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, []))), T4969, .(s(s(s(s(T4969)))), .(s(s(s(0))), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(s(0))), .(0, [])), T4972) → sum55_out_ggga(0, .(s(s(s(0))), .(0, [])), T4972, .(s(s(s(s(T4972)))), .(s(s(s(0))), .(0, []))))
sum55_in_ggga(0, .(s(s(s(0))), []), T4975) → sum55_out_ggga(0, .(s(s(s(0))), []), T4975, .(s(s(s(s(T4975)))), .(s(s(s(0))), [])))
sum55_in_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003) → U33_ggga(T5001, T5002, T5003, sum385_in_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034) → U34_ggga(T5032, T5033, T5034, sum385_in_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033)))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065) → U35_ggga(T5063, T5064, T5065, sum385_in_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096) → U36_ggga(T5094, T5095, T5096, sum385_in_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095)))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127) → U37_ggga(T5125, T5126, T5127, sum385_in_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158) → U38_ggga(T5156, T5157, T5158, sum385_in_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171) → U39_ggga(T5170, T5171, sum385_in_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170)))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, [])))))), T5182, .(s(s(s(T5182))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, []))))), T5185, .(s(s(s(T5185))), .(s(s(0)), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, [])))), T5188, .(s(s(s(T5188))), .(s(s(0)), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, []))), T5191, .(s(s(s(T5191))), .(s(s(0)), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(s(0)), .(0, [])), T5194) → sum55_out_ggga(0, .(s(s(0)), .(0, [])), T5194, .(s(s(s(T5194))), .(s(s(0)), .(0, []))))
sum55_in_ggga(0, .(s(s(0)), []), T5197) → sum55_out_ggga(0, .(s(s(0)), []), T5197, .(s(s(s(T5197))), .(s(s(0)), [])))
sum55_in_ggga(0, .(s(0), .(s(T5223), T5224)), T5225) → U40_ggga(T5223, T5224, T5225, sum385_in_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224))))
sum55_in_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256) → U41_ggga(T5254, T5255, T5256, sum385_in_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255)))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287) → U42_ggga(T5285, T5286, T5287, sum385_in_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318) → U43_ggga(T5316, T5317, T5318, sum385_in_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317)))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349) → U44_ggga(T5347, T5348, T5349, sum385_in_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380) → U45_ggga(T5378, T5379, T5380, sum385_in_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393) → U46_ggga(T5392, T5393, sum385_in_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392)))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, [])))))), T5404, .(s(s(T5404)), .(s(0), .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, []))))), T5407, .(s(s(T5407)), .(s(0), .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, [])))), T5410, .(s(s(T5410)), .(s(0), .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(s(0), .(0, .(0, []))), T5413) → sum55_out_ggga(0, .(s(0), .(0, .(0, []))), T5413, .(s(s(T5413)), .(s(0), .(0, .(0, [])))))
sum55_in_ggga(0, .(s(0), .(0, [])), T5416) → sum55_out_ggga(0, .(s(0), .(0, [])), T5416, .(s(s(T5416)), .(s(0), .(0, []))))
sum55_in_ggga(0, .(s(0), []), T5419) → sum55_out_ggga(0, .(s(0), []), T5419, .(s(s(T5419)), .(s(0), [])))
sum55_in_ggga(0, .(0, .(s(T5445), T5446)), T5447) → U47_ggga(T5445, T5446, T5447, sum385_in_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446))))
sum55_in_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478) → U48_ggga(T5476, T5477, T5478, sum385_in_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477)))))
sum55_in_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509) → U49_ggga(T5507, T5508, T5509, sum385_in_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540) → U50_ggga(T5538, T5539, T5540, sum385_in_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539)))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571) → U51_ggga(T5569, T5570, T5571, sum385_in_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602) → U52_ggga(T5600, T5601, T5602, sum385_in_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615) → U53_ggga(T5614, T5615, sum385_in_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614)))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, [])))))), T5626, .(s(T5626), .(0, .(0, .(0, .(0, .(0, .(0, []))))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T5629, .(s(T5629), .(0, .(0, .(0, .(0, .(0, [])))))))
sum55_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T5632, .(s(T5632), .(0, .(0, .(0, .(0, []))))))
sum55_in_ggga(0, .(0, .(0, .(0, []))), T5635) → sum55_out_ggga(0, .(0, .(0, .(0, []))), T5635, .(s(T5635), .(0, .(0, .(0, [])))))
sum55_in_ggga(0, .(0, .(0, [])), T5638) → sum55_out_ggga(0, .(0, .(0, [])), T5638, .(s(T5638), .(0, .(0, []))))
sum55_in_ggga(0, .(0, []), T5641) → sum55_out_ggga(0, .(0, []), T5641, .(s(T5641), .(0, [])))
sum55_in_ggga(0, [], T5644) → sum55_out_ggga(0, [], T5644, .(s(T5644), []))
U93_gga(T5665, T5666, sum55_out_ggga(T5665, T5666, s(s(s(s(s(s(s(0))))))), X8303)) → sum1253_out_gga(s(T5665), T5666, X8303)
U53_ggga(T5614, T5615, sum385_out_ggga(T5614, T5615, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), X8199)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(0, T5614))))))), T5615, X8199)
U52_ggga(T5600, T5601, T5602, sum385_out_ggga(.(T5600, T5601), s(T5602), .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), X8168)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, .(s(T5600), T5601))))))), T5602, X8168)
U51_ggga(T5569, T5570, T5571, sum385_out_ggga(.(T5569, T5570), s(T5571), .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), X8098)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T5569), T5570)))))), T5571, X8098)
U50_ggga(T5538, T5539, T5540, sum385_out_ggga(.(T5538, T5539), s(T5540), .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), X8028)) → sum55_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T5538), T5539))))), T5540, X8028)
U49_ggga(T5507, T5508, T5509, sum385_out_ggga(.(T5507, T5508), s(T5509), .(0, .(0, .(0, .(s(T5507), T5508)))), X7958)) → sum55_out_ggga(0, .(0, .(0, .(0, .(s(T5507), T5508)))), T5509, X7958)
U48_ggga(T5476, T5477, T5478, sum385_out_ggga(.(T5476, T5477), s(T5478), .(0, .(0, .(s(T5476), T5477))), X7888)) → sum55_out_ggga(0, .(0, .(0, .(s(T5476), T5477))), T5478, X7888)
U47_ggga(T5445, T5446, T5447, sum385_out_ggga(.(T5445, T5446), s(T5447), .(0, .(s(T5445), T5446)), X7818)) → sum55_out_ggga(0, .(0, .(s(T5445), T5446)), T5447, X7818)
U46_ggga(T5392, T5393, sum385_out_ggga(T5392, s(T5393), .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), X7719)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(0, T5392))))))), T5393, X7719)
U45_ggga(T5378, T5379, T5380, sum385_out_ggga(.(T5378, T5379), s(s(T5380)), .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), X7688)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(0, .(s(T5378), T5379))))))), T5380, X7688)
U44_ggga(T5347, T5348, T5349, sum385_out_ggga(.(T5347, T5348), s(s(T5349)), .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), X7618)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(0, .(s(T5347), T5348)))))), T5349, X7618)
U43_ggga(T5316, T5317, T5318, sum385_out_ggga(.(T5316, T5317), s(s(T5318)), .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), X7548)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(0, .(s(T5316), T5317))))), T5318, X7548)
U42_ggga(T5285, T5286, T5287, sum385_out_ggga(.(T5285, T5286), s(s(T5287)), .(s(0), .(0, .(0, .(s(T5285), T5286)))), X7478)) → sum55_out_ggga(0, .(s(0), .(0, .(0, .(s(T5285), T5286)))), T5287, X7478)
U41_ggga(T5254, T5255, T5256, sum385_out_ggga(.(T5254, T5255), s(s(T5256)), .(s(0), .(0, .(s(T5254), T5255))), X7408)) → sum55_out_ggga(0, .(s(0), .(0, .(s(T5254), T5255))), T5256, X7408)
U40_ggga(T5223, T5224, T5225, sum385_out_ggga(.(T5223, T5224), s(s(T5225)), .(s(0), .(s(T5223), T5224)), X7338)) → sum55_out_ggga(0, .(s(0), .(s(T5223), T5224)), T5225, X7338)
U39_ggga(T5170, T5171, sum385_out_ggga(T5170, s(s(T5171)), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), X7239)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(0, T5170))))))), T5171, X7239)
U38_ggga(T5156, T5157, T5158, sum385_out_ggga(.(T5156, T5157), s(s(s(T5158))), .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), X7208)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(0, .(s(T5156), T5157))))))), T5158, X7208)
U37_ggga(T5125, T5126, T5127, sum385_out_ggga(.(T5125, T5126), s(s(s(T5127))), .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), X7138)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(0, .(s(T5125), T5126)))))), T5127, X7138)
U36_ggga(T5094, T5095, T5096, sum385_out_ggga(.(T5094, T5095), s(s(s(T5096))), .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), X7068)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(0, .(s(T5094), T5095))))), T5096, X7068)
U35_ggga(T5063, T5064, T5065, sum385_out_ggga(.(T5063, T5064), s(s(s(T5065))), .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), X6998)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(0, .(s(T5063), T5064)))), T5065, X6998)
U34_ggga(T5032, T5033, T5034, sum385_out_ggga(.(T5032, T5033), s(s(s(T5034))), .(s(s(0)), .(0, .(s(T5032), T5033))), X6928)) → sum55_out_ggga(0, .(s(s(0)), .(0, .(s(T5032), T5033))), T5034, X6928)
U33_ggga(T5001, T5002, T5003, sum385_out_ggga(.(T5001, T5002), s(s(s(T5003))), .(s(s(0)), .(s(T5001), T5002)), X6858)) → sum55_out_ggga(0, .(s(s(0)), .(s(T5001), T5002)), T5003, X6858)
U32_ggga(T4948, T4949, sum385_out_ggga(T4948, s(s(s(T4949))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), X6759)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(0, T4948))))))), T4949, X6759)
U31_ggga(T4934, T4935, T4936, sum385_out_ggga(.(T4934, T4935), s(s(s(s(T4936)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), X6728)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(0, .(s(T4934), T4935))))))), T4936, X6728)
U30_ggga(T4903, T4904, T4905, sum385_out_ggga(.(T4903, T4904), s(s(s(s(T4905)))), .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), X6658)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(0, .(s(T4903), T4904)))))), T4905, X6658)
U29_ggga(T4872, T4873, T4874, sum385_out_ggga(.(T4872, T4873), s(s(s(s(T4874)))), .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), X6588)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(0, .(s(T4872), T4873))))), T4874, X6588)
U28_ggga(T4841, T4842, T4843, sum385_out_ggga(.(T4841, T4842), s(s(s(s(T4843)))), .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), X6518)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(0, .(s(T4841), T4842)))), T4843, X6518)
U27_ggga(T4810, T4811, T4812, sum385_out_ggga(.(T4810, T4811), s(s(s(s(T4812)))), .(s(s(s(0))), .(0, .(s(T4810), T4811))), X6448)) → sum55_out_ggga(0, .(s(s(s(0))), .(0, .(s(T4810), T4811))), T4812, X6448)
U26_ggga(T4779, T4780, T4781, sum385_out_ggga(.(T4779, T4780), s(s(s(s(T4781)))), .(s(s(s(0))), .(s(T4779), T4780)), X6378)) → sum55_out_ggga(0, .(s(s(s(0))), .(s(T4779), T4780)), T4781, X6378)
U25_ggga(T4726, T4727, sum385_out_ggga(T4726, s(s(s(s(T4727)))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), X6279)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(0, T4726))))))), T4727, X6279)
U24_ggga(T4712, T4713, T4714, sum385_out_ggga(.(T4712, T4713), s(s(s(s(s(T4714))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), X6248)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(0, .(s(T4712), T4713))))))), T4714, X6248)
U23_ggga(T4681, T4682, T4683, sum385_out_ggga(.(T4681, T4682), s(s(s(s(s(T4683))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), X6178)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(0, .(s(T4681), T4682)))))), T4683, X6178)
U22_ggga(T4650, T4651, T4652, sum385_out_ggga(.(T4650, T4651), s(s(s(s(s(T4652))))), .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), X6108)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(0, .(s(T4650), T4651))))), T4652, X6108)
U21_ggga(T4619, T4620, T4621, sum385_out_ggga(.(T4619, T4620), s(s(s(s(s(T4621))))), .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), X6038)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(0, .(s(T4619), T4620)))), T4621, X6038)
U20_ggga(T4588, T4589, T4590, sum385_out_ggga(.(T4588, T4589), s(s(s(s(s(T4590))))), .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), X5968)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(0, .(s(T4588), T4589))), T4590, X5968)
U19_ggga(T4557, T4558, T4559, sum385_out_ggga(.(T4557, T4558), s(s(s(s(s(T4559))))), .(s(s(s(s(0)))), .(s(T4557), T4558)), X5898)) → sum55_out_ggga(0, .(s(s(s(s(0)))), .(s(T4557), T4558)), T4559, X5898)
U18_ggga(T4504, T4505, sum385_out_ggga(T4504, s(s(s(s(s(T4505))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), X5799)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(0, T4504))))))), T4505, X5799)
U17_ggga(T4490, T4491, T4492, sum385_out_ggga(.(T4490, T4491), s(s(s(s(s(s(T4492)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), X5768)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(0, .(s(T4490), T4491))))))), T4492, X5768)
U16_ggga(T4459, T4460, T4461, sum385_out_ggga(.(T4459, T4460), s(s(s(s(s(s(T4461)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), X5698)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(0, .(s(T4459), T4460)))))), T4461, X5698)
U15_ggga(T4428, T4429, T4430, sum385_out_ggga(.(T4428, T4429), s(s(s(s(s(s(T4430)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), X5628)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(0, .(s(T4428), T4429))))), T4430, X5628)
U14_ggga(T4397, T4398, T4399, sum385_out_ggga(.(T4397, T4398), s(s(s(s(s(s(T4399)))))), .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), X5558)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(0, .(s(T4397), T4398)))), T4399, X5558)
U13_ggga(T4366, T4367, T4368, sum385_out_ggga(.(T4366, T4367), s(s(s(s(s(s(T4368)))))), .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), X5488)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(0, .(s(T4366), T4367))), T4368, X5488)
U12_ggga(T4335, T4336, T4337, sum385_out_ggga(.(T4335, T4336), s(s(s(s(s(s(T4337)))))), .(s(s(s(s(s(0))))), .(s(T4335), T4336)), X5418)) → sum55_out_ggga(0, .(s(s(s(s(s(0))))), .(s(T4335), T4336)), T4337, X5418)
U11_ggga(T4282, T4283, sum385_out_ggga(T4282, s(s(s(s(s(s(T4283)))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), X5319)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(0, T4282))))))), T4283, X5319)
U10_ggga(T4268, T4269, T4270, sum385_out_ggga(.(T4268, T4269), s(s(s(s(s(s(s(T4270))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), X5288)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(0, .(s(T4268), T4269))))))), T4270, X5288)
U9_ggga(T4237, T4238, T4239, sum385_out_ggga(.(T4237, T4238), s(s(s(s(s(s(s(T4239))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), X5218)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(0, .(s(T4237), T4238)))))), T4239, X5218)
U8_ggga(T4206, T4207, T4208, sum385_out_ggga(.(T4206, T4207), s(s(s(s(s(s(s(T4208))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), X5148)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(0, .(s(T4206), T4207))))), T4208, X5148)
U7_ggga(T4175, T4176, T4177, sum385_out_ggga(.(T4175, T4176), s(s(s(s(s(s(s(T4177))))))), .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), X5078)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(0, .(s(T4175), T4176)))), T4177, X5078)
U6_ggga(T4144, T4145, T4146, sum385_out_ggga(.(T4144, T4145), s(s(s(s(s(s(s(T4146))))))), .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), X5008)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(0, .(s(T4144), T4145))), T4146, X5008)
U5_ggga(T4113, T4114, T4115, sum385_out_ggga(.(T4113, T4114), s(s(s(s(s(s(s(T4115))))))), .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), X4938)) → sum55_out_ggga(0, .(s(s(s(s(s(s(0)))))), .(s(T4113), T4114)), T4115, X4938)
sum101_in_ggga(s(T380), T381, T382) → U170_ggga(T380, T381, T382, sum107_in_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380)))))))))
sum101_in_ggga(0, .(s(T3891), T3892), T3893) → U171_ggga(T3891, T3892, T3893, sum385_in_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892))))
sum101_in_ggga(0, .(0, .(s(T3922), T3923)), T3924) → U172_ggga(T3922, T3923, T3924, sum385_in_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923)))))
sum101_in_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955) → U173_ggga(T3953, T3954, T3955, sum385_in_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986) → U174_ggga(T3984, T3985, T3986, sum385_in_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985)))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017) → U175_ggga(T4015, T4016, T4017, sum385_in_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048) → U176_ggga(T4046, T4047, T4048, sum385_in_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061) → U177_ggga(T4060, T4061, sum385_in_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, []))))), T4072, .(s(T4072), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, []))))))))
sum101_in_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, [])))), T4075, .(s(T4075), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, [])))))))
sum101_in_ggga(0, .(0, .(0, .(0, []))), T4078) → sum101_out_ggga(0, .(0, .(0, .(0, []))), T4078, .(s(T4078), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, []))))))
sum101_in_ggga(0, .(0, .(0, [])), T4081) → sum101_out_ggga(0, .(0, .(0, [])), T4081, .(s(T4081), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, [])))))
sum101_in_ggga(0, .(0, []), T4084) → sum101_out_ggga(0, .(0, []), T4084, .(s(T4084), .(s(s(s(s(s(s(s(0))))))), .(0, []))))
sum101_in_ggga(0, [], T4087) → sum101_out_ggga(0, [], T4087, .(s(T4087), .(s(s(s(s(s(s(s(0))))))), [])))
U4_ggga(T358, T359, T360, sum101_out_ggga(T358, T359, s(s(s(s(s(s(s(T360))))))), X769)) → sum55_out_ggga(0, .(s(s(s(s(s(s(s(T358))))))), T359), T360, X769)
U177_ggga(T4060, T4061, sum385_out_ggga(T4060, T4061, .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(0, T4060))))))), X4839)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(0, T4060)))))), T4061, X4839)
U176_ggga(T4046, T4047, T4048, sum385_out_ggga(.(T4046, T4047), s(T4048), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047))))))), X4808)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(0, .(s(T4046), T4047)))))), T4048, X4808)
U175_ggga(T4015, T4016, T4017, sum385_out_ggga(.(T4015, T4016), s(T4017), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(0, .(s(T4015), T4016)))))), X4738)) → sum101_out_ggga(0, .(0, .(0, .(0, .(0, .(s(T4015), T4016))))), T4017, X4738)
U174_ggga(T3984, T3985, T3986, sum385_out_ggga(.(T3984, T3985), s(T3986), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(0, .(s(T3984), T3985))))), X4668)) → sum101_out_ggga(0, .(0, .(0, .(0, .(s(T3984), T3985)))), T3986, X4668)
U173_ggga(T3953, T3954, T3955, sum385_out_ggga(.(T3953, T3954), s(T3955), .(s(s(s(s(s(s(s(0))))))), .(0, .(0, .(s(T3953), T3954)))), X4598)) → sum101_out_ggga(0, .(0, .(0, .(s(T3953), T3954))), T3955, X4598)
U172_ggga(T3922, T3923, T3924, sum385_out_ggga(.(T3922, T3923), s(T3924), .(s(s(s(s(s(s(s(0))))))), .(0, .(s(T3922), T3923))), X4528)) → sum101_out_ggga(0, .(0, .(s(T3922), T3923)), T3924, X4528)
U171_ggga(T3891, T3892, T3893, sum385_out_ggga(.(T3891, T3892), s(T3893), .(s(s(s(s(s(s(s(0))))))), .(s(T3891), T3892)), X4458)) → sum101_out_ggga(0, .(s(T3891), T3892), T3893, X4458)
sum107_in_gggga(s(T407), T408, T409, T410) → U54_gggga(T407, T408, T409, T410, sum107_in_gggga(T407, T408, s(T409), T410))
sum107_in_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573) → U55_gggga(T570, T571, T572, T573, sum147_in_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573))
sum107_in_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760) → U56_gggga(T3758, T3759, T3760, sum385_in_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758))))
sum107_in_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779) → U57_gggga(T3777, T3778, T3779, sum385_in_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777))))
sum107_in_gggga(0, .(s(s(s(0))), T3796), T3797, T3798) → U58_gggga(T3796, T3797, T3798, sum385_in_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796))))
sum107_in_gggga(0, .(s(s(0)), T3815), T3816, T3817) → U59_gggga(T3815, T3816, T3817, sum385_in_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815))))
sum107_in_gggga(0, .(s(0), T3834), T3835, T3836) → U60_gggga(T3834, T3835, T3836, sum385_in_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834))))
sum107_in_gggga(0, .(0, T3853), T3854, T3855) → U61_gggga(T3853, T3854, T3855, sum385_in_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853))))
sum107_in_gggga(0, [], T3864, T3865) → sum107_out_gggga(0, [], T3864, T3865, .(s(s(T3864)), .(s(T3865), [])))
U170_ggga(T380, T381, T382, sum107_out_gggga(T380, T381, T382, s(s(s(s(s(s(s(T380))))))), X816)) → sum101_out_ggga(s(T380), T381, T382, X816)
U61_gggga(T3853, T3854, T3855, sum385_out_ggga(T3853, s(T3854), .(s(T3855), .(0, T3853)), X4385)) → sum107_out_gggga(0, .(0, T3853), T3854, T3855, X4385)
U60_gggga(T3834, T3835, T3836, sum385_out_ggga(T3834, s(s(T3835)), .(s(T3836), .(s(0), T3834)), X4355)) → sum107_out_gggga(0, .(s(0), T3834), T3835, T3836, X4355)
U59_gggga(T3815, T3816, T3817, sum385_out_ggga(T3815, s(s(s(T3816))), .(s(T3817), .(s(s(0)), T3815)), X4325)) → sum107_out_gggga(0, .(s(s(0)), T3815), T3816, T3817, X4325)
U58_gggga(T3796, T3797, T3798, sum385_out_ggga(T3796, s(s(s(s(T3797)))), .(s(T3798), .(s(s(s(0))), T3796)), X4295)) → sum107_out_gggga(0, .(s(s(s(0))), T3796), T3797, T3798, X4295)
U57_gggga(T3777, T3778, T3779, sum385_out_ggga(T3777, s(s(s(s(s(T3778))))), .(s(T3779), .(s(s(s(s(0)))), T3777)), X4265)) → sum107_out_gggga(0, .(s(s(s(s(0)))), T3777), T3778, T3779, X4265)
U56_gggga(T3758, T3759, T3760, sum385_out_ggga(T3758, s(s(s(s(s(s(T3759)))))), .(s(T3760), .(s(s(s(s(s(0))))), T3758)), X4235)) → sum107_out_gggga(0, .(s(s(s(s(s(0))))), T3758), T3759, T3760, X4235)
sum147_in_gggga(s(s(T623)), T624, T625, T626) → U178_gggga(T623, T624, T625, T626, sum158_in_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623)))))))))
sum147_in_gggga(s(0), T3720, T3721, T3722) → U179_gggga(T3720, T3721, T3722, sum385_in_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720))))
sum147_in_gggga(0, T3739, T3740, T3741) → U180_gggga(T3739, T3740, T3741, sum385_in_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739))))
U55_gggga(T570, T571, T572, T573, sum147_out_gggga(T570, T571, s(s(s(s(s(s(s(T572))))))), T573, X1138)) → sum107_out_gggga(0, .(s(s(s(s(s(s(T570)))))), T571), T572, T573, X1138)
U180_gggga(T3739, T3740, T3741, sum385_out_ggga(T3739, T3740, .(s(T3741), .(s(s(s(s(s(s(0)))))), T3739)), X4205)) → sum147_out_gggga(0, T3739, T3740, T3741, X4205)
U179_gggga(T3720, T3721, T3722, sum385_out_ggga(T3720, s(T3721), .(s(T3722), .(s(s(s(s(s(s(s(0))))))), T3720)), X4175)) → sum147_out_gggga(s(0), T3720, T3721, T3722, X4175)
sum158_in_ggggga(s(T657), T658, T659, T660, T661) → U62_ggggga(T657, T658, T659, T660, T661, sum158_in_ggggga(T657, T658, s(T659), T660, T661))
sum158_in_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836) → U63_ggggga(T832, T833, T834, T835, T836, sum193_in_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836))
sum158_in_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593) → U64_ggggga(T3590, T3591, T3592, T3593, sum385_in_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590)))))
sum158_in_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618) → U65_ggggga(T3615, T3616, T3617, T3618, sum385_in_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615)))))
sum158_in_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643) → U66_ggggga(T3640, T3641, T3642, T3643, sum385_in_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640)))))
sum158_in_ggggga(0, .(s(0), T3665), T3666, T3667, T3668) → U67_ggggga(T3665, T3666, T3667, T3668, sum385_in_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665)))))
sum158_in_ggggga(0, .(0, T3690), T3691, T3692, T3693) → U68_ggggga(T3690, T3691, T3692, T3693, sum385_in_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690)))))
sum158_in_ggggga(0, [], T3705, T3706, T3707) → sum158_out_ggggga(0, [], T3705, T3706, T3707, .(s(s(s(T3705))), .(s(T3706), .(s(T3707), []))))
U178_gggga(T623, T624, T625, T626, sum158_out_ggggga(T623, T624, T625, T626, s(s(s(s(s(s(s(T623))))))), X1226)) → sum147_out_gggga(s(s(T623)), T624, T625, T626, X1226)
U68_ggggga(T3690, T3691, T3692, T3693, sum385_out_ggga(T3690, s(s(T3691)), .(s(T3692), .(s(T3693), .(0, T3690))), X4141)) → sum158_out_ggggga(0, .(0, T3690), T3691, T3692, T3693, X4141)
U67_ggggga(T3665, T3666, T3667, T3668, sum385_out_ggga(T3665, s(s(s(T3666))), .(s(T3667), .(s(T3668), .(s(0), T3665))), X4111)) → sum158_out_ggggga(0, .(s(0), T3665), T3666, T3667, T3668, X4111)
U66_ggggga(T3640, T3641, T3642, T3643, sum385_out_ggga(T3640, s(s(s(s(T3641)))), .(s(T3642), .(s(T3643), .(s(s(0)), T3640))), X4081)) → sum158_out_ggggga(0, .(s(s(0)), T3640), T3641, T3642, T3643, X4081)
U65_ggggga(T3615, T3616, T3617, T3618, sum385_out_ggga(T3615, s(s(s(s(s(T3616))))), .(s(T3617), .(s(T3618), .(s(s(s(0))), T3615))), X4051)) → sum158_out_ggggga(0, .(s(s(s(0))), T3615), T3616, T3617, T3618, X4051)
U64_ggggga(T3590, T3591, T3592, T3593, sum385_out_ggga(T3590, s(s(s(s(s(s(T3591)))))), .(s(T3592), .(s(T3593), .(s(s(s(s(0)))), T3590))), X4021)) → sum158_out_ggggga(0, .(s(s(s(s(0)))), T3590), T3591, T3592, T3593, X4021)
sum193_in_ggggga(s(s(s(T928))), T929, T930, T931, T932) → U181_ggggga(T928, T929, T930, T931, T932, sum209_in_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928)))))))))
sum193_in_ggggga(s(s(0)), T3515, T3516, T3517, T3518) → U182_ggggga(T3515, T3516, T3517, T3518, sum385_in_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515)))))
sum193_in_ggggga(s(0), T3540, T3541, T3542, T3543) → U183_ggggga(T3540, T3541, T3542, T3543, sum385_in_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540)))))
sum193_in_ggggga(0, T3565, T3566, T3567, T3568) → U184_ggggga(T3565, T3566, T3567, T3568, sum385_in_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565)))))
U63_ggggga(T832, T833, T834, T835, T836, sum193_out_ggggga(T832, T833, s(s(s(s(s(s(s(T834))))))), T835, T836, X1507)) → sum158_out_ggggga(0, .(s(s(s(s(s(T832))))), T833), T834, T835, T836, X1507)
U184_ggggga(T3565, T3566, T3567, T3568, sum385_out_ggga(T3565, T3566, .(s(T3567), .(s(T3568), .(s(s(s(s(s(0))))), T3565))), X3991)) → sum193_out_ggggga(0, T3565, T3566, T3567, T3568, X3991)
U183_ggggga(T3540, T3541, T3542, T3543, sum385_out_ggga(T3540, s(T3541), .(s(T3542), .(s(T3543), .(s(s(s(s(s(s(0)))))), T3540))), X3961)) → sum193_out_ggggga(s(0), T3540, T3541, T3542, T3543, X3961)
U182_ggggga(T3515, T3516, T3517, T3518, sum385_out_ggga(T3515, s(s(T3516)), .(s(T3517), .(s(T3518), .(s(s(s(s(s(s(s(0))))))), T3515))), X3931)) → sum193_out_ggggga(s(s(0)), T3515, T3516, T3517, T3518, X3931)
sum209_in_gggggga(s(T969), T970, T971, T972, T973, T974) → U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_in_gggggga(T969, T970, s(T971), T972, T973, T974))
sum209_in_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149) → U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_in_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149))
sum209_in_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387) → U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_in_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383))))))
sum209_in_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418) → U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_in_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414))))))
sum209_in_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449) → U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_in_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445))))))
sum209_in_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480) → U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_in_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476))))))
sum209_in_gggggga(0, [], T3495, T3496, T3497, T3498) → sum209_out_gggggga(0, [], T3495, T3496, T3497, T3498, .(s(s(s(s(T3495)))), .(s(T3496), .(s(T3497), .(s(T3498), [])))))
U181_ggggga(T928, T929, T930, T931, T932, sum209_out_gggggga(T928, T929, T930, T931, T932, s(s(s(s(s(s(s(T928))))))), X1636)) → sum193_out_ggggga(s(s(s(T928))), T929, T930, T931, T932, X1636)
U74_gggggga(T3476, T3477, T3478, T3479, T3480, sum385_out_ggga(T3476, s(s(s(T3477))), .(s(T3478), .(s(T3479), .(s(T3480), .(0, T3476)))), X3897)) → sum209_out_gggggga(0, .(0, T3476), T3477, T3478, T3479, T3480, X3897)
U73_gggggga(T3445, T3446, T3447, T3448, T3449, sum385_out_ggga(T3445, s(s(s(s(T3446)))), .(s(T3447), .(s(T3448), .(s(T3449), .(s(0), T3445)))), X3867)) → sum209_out_gggggga(0, .(s(0), T3445), T3446, T3447, T3448, T3449, X3867)
U72_gggggga(T3414, T3415, T3416, T3417, T3418, sum385_out_ggga(T3414, s(s(s(s(s(T3415))))), .(s(T3416), .(s(T3417), .(s(T3418), .(s(s(0)), T3414)))), X3837)) → sum209_out_gggggga(0, .(s(s(0)), T3414), T3415, T3416, T3417, T3418, X3837)
U71_gggggga(T3383, T3384, T3385, T3386, T3387, sum385_out_ggga(T3383, s(s(s(s(s(s(T3384)))))), .(s(T3385), .(s(T3386), .(s(T3387), .(s(s(s(0))), T3383)))), X3807)) → sum209_out_gggggga(0, .(s(s(s(0))), T3383), T3384, T3385, T3386, T3387, X3807)
sum239_in_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300) → U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_in_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295)))))))))
sum239_in_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263) → U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_in_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259))))))
sum239_in_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294) → U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_in_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290))))))
sum239_in_gggggga(s(0), T3321, T3322, T3323, T3324, T3325) → U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_in_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321))))))
sum239_in_gggggga(0, T3352, T3353, T3354, T3355, T3356) → U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_in_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352))))))
U70_gggggga(T1144, T1145, T1146, T1147, T1148, T1149, sum239_out_gggggga(T1144, T1145, s(s(s(s(s(s(s(T1146))))))), T1147, T1148, T1149, X1876)) → sum209_out_gggggga(0, .(s(s(s(s(T1144)))), T1145), T1146, T1147, T1148, T1149, X1876)
U189_gggggga(T3352, T3353, T3354, T3355, T3356, sum385_out_ggga(T3352, T3353, .(s(T3354), .(s(T3355), .(s(T3356), .(s(s(s(s(0)))), T3352)))), X3777)) → sum239_out_gggggga(0, T3352, T3353, T3354, T3355, T3356, X3777)
U188_gggggga(T3321, T3322, T3323, T3324, T3325, sum385_out_ggga(T3321, s(T3322), .(s(T3323), .(s(T3324), .(s(T3325), .(s(s(s(s(s(0))))), T3321)))), X3747)) → sum239_out_gggggga(s(0), T3321, T3322, T3323, T3324, T3325, X3747)
U187_gggggga(T3290, T3291, T3292, T3293, T3294, sum385_out_ggga(T3290, s(s(T3291)), .(s(T3292), .(s(T3293), .(s(T3294), .(s(s(s(s(s(s(0)))))), T3290)))), X3717)) → sum239_out_gggggga(s(s(0)), T3290, T3291, T3292, T3293, T3294, X3717)
U186_gggggga(T3259, T3260, T3261, T3262, T3263, sum385_out_ggga(T3259, s(s(s(T3260))), .(s(T3261), .(s(T3262), .(s(T3263), .(s(s(s(s(s(s(s(0))))))), T3259)))), X3687)) → sum239_out_gggggga(s(s(s(0))), T3259, T3260, T3261, T3262, T3263, X3687)
sum260_in_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349) → U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_in_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349))
sum260_in_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512) → U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_in_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512))
sum260_in_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142) → U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_in_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137)))))))
sum260_in_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179) → U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_in_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174)))))))
sum260_in_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216) → U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_in_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211)))))))
sum260_in_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238) → sum260_out_ggggggga(0, [], T3234, T3235, T3236, T3237, T3238, .(s(s(s(s(s(T3234))))), .(s(T3235), .(s(T3236), .(s(T3237), .(s(T3238), []))))))
U185_gggggga(T1295, T1296, T1297, T1298, T1299, T1300, sum260_out_ggggggga(T1295, T1296, T1297, T1298, T1299, T1300, s(s(s(s(s(s(s(T1295))))))), X2046)) → sum239_out_gggggga(s(s(s(s(T1295)))), T1296, T1297, T1298, T1299, T1300, X2046)
U79_ggggggga(T3211, T3212, T3213, T3214, T3215, T3216, sum385_out_ggga(T3211, s(s(s(s(T3212)))), .(s(T3213), .(s(T3214), .(s(T3215), .(s(T3216), .(0, T3211))))), X3653)) → sum260_out_ggggggga(0, .(0, T3211), T3212, T3213, T3214, T3215, T3216, X3653)
U78_ggggggga(T3174, T3175, T3176, T3177, T3178, T3179, sum385_out_ggga(T3174, s(s(s(s(s(T3175))))), .(s(T3176), .(s(T3177), .(s(T3178), .(s(T3179), .(s(0), T3174))))), X3623)) → sum260_out_ggggggga(0, .(s(0), T3174), T3175, T3176, T3177, T3178, T3179, X3623)
U77_ggggggga(T3137, T3138, T3139, T3140, T3141, T3142, sum385_out_ggga(T3137, s(s(s(s(s(s(T3138)))))), .(s(T3139), .(s(T3140), .(s(T3141), .(s(T3142), .(s(s(0)), T3137))))), X3593)) → sum260_out_ggggggga(0, .(s(s(0)), T3137), T3138, T3139, T3140, T3141, T3142, X3593)
sum285_in_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730) → U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_in_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724)))))))))
sum285_in_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957) → U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_in_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952)))))))
sum285_in_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994) → U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_in_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989)))))))
sum285_in_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031) → U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_in_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026)))))))
sum285_in_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068) → U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_in_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063)))))))
sum285_in_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105) → U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_in_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100)))))))
U76_ggggggga(T1506, T1507, T1508, T1509, T1510, T1511, T1512, sum285_out_ggggggga(T1506, T1507, s(s(s(s(s(s(s(T1508))))))), T1509, T1510, T1511, T1512, X2245)) → sum260_out_ggggggga(0, .(s(s(s(T1506))), T1507), T1508, T1509, T1510, T1511, T1512, X2245)
U195_ggggggga(T3100, T3101, T3102, T3103, T3104, T3105, sum385_out_ggga(T3100, T3101, .(s(T3102), .(s(T3103), .(s(T3104), .(s(T3105), .(s(s(s(0))), T3100))))), X3563)) → sum285_out_ggggggga(0, T3100, T3101, T3102, T3103, T3104, T3105, X3563)
U194_ggggggga(T3063, T3064, T3065, T3066, T3067, T3068, sum385_out_ggga(T3063, s(T3064), .(s(T3065), .(s(T3066), .(s(T3067), .(s(T3068), .(s(s(s(s(0)))), T3063))))), X3533)) → sum285_out_ggggggga(s(0), T3063, T3064, T3065, T3066, T3067, T3068, X3533)
U193_ggggggga(T3026, T3027, T3028, T3029, T3030, T3031, sum385_out_ggga(T3026, s(s(T3027)), .(s(T3028), .(s(T3029), .(s(T3030), .(s(T3031), .(s(s(s(s(s(0))))), T3026))))), X3503)) → sum285_out_ggggggga(s(s(0)), T3026, T3027, T3028, T3029, T3030, T3031, X3503)
U192_ggggggga(T2989, T2990, T2991, T2992, T2993, T2994, sum385_out_ggga(T2989, s(s(s(T2990))), .(s(T2991), .(s(T2992), .(s(T2993), .(s(T2994), .(s(s(s(s(s(s(0)))))), T2989))))), X3473)) → sum285_out_ggggggga(s(s(s(0))), T2989, T2990, T2991, T2992, T2993, T2994, X3473)
U191_ggggggga(T2952, T2953, T2954, T2955, T2956, T2957, sum385_out_ggga(T2952, s(s(s(s(T2953)))), .(s(T2954), .(s(T2955), .(s(T2956), .(s(T2957), .(s(s(s(s(s(s(s(0))))))), T2952))))), X3443)) → sum285_out_ggggggga(s(s(s(s(0)))), T2952, T2953, T2954, T2955, T2956, T2957, X3443)
sum311_in_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786) → U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_in_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786))
sum311_in_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925) → U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_in_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925))
sum311_in_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858) → U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_in_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852))))))))
sum311_in_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901) → U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_in_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895))))))))
sum311_in_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927) → sum311_out_gggggggga(0, [], T2922, T2923, T2924, T2925, T2926, T2927, .(s(s(s(s(s(s(T2922)))))), .(s(T2923), .(s(T2924), .(s(T2925), .(s(T2926), .(s(T2927), [])))))))
U190_ggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, sum311_out_gggggggga(T1724, T1725, T1726, T1727, T1728, T1729, T1730, s(s(s(s(s(s(s(T1724))))))), X2456)) → sum285_out_ggggggga(s(s(s(s(s(T1724))))), T1725, T1726, T1727, T1728, T1729, T1730, X2456)
U83_gggggggga(T2895, T2896, T2897, T2898, T2899, T2900, T2901, sum385_out_ggga(T2895, s(s(s(s(s(T2896))))), .(s(T2897), .(s(T2898), .(s(T2899), .(s(T2900), .(s(T2901), .(0, T2895)))))), X3409)) → sum311_out_gggggggga(0, .(0, T2895), T2896, T2897, T2898, T2899, T2900, T2901, X3409)
U82_gggggggga(T2852, T2853, T2854, T2855, T2856, T2857, T2858, sum385_out_ggga(T2852, s(s(s(s(s(s(T2853)))))), .(s(T2854), .(s(T2855), .(s(T2856), .(s(T2857), .(s(T2858), .(s(0), T2852)))))), X3379)) → sum311_out_gggggggga(0, .(s(0), T2852), T2853, T2854, T2855, T2856, T2857, T2858, X3379)
sum331_in_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222) → U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_in_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215)))))))))
sum331_in_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600) → U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_in_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594))))))))
sum331_in_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643) → U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_in_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637))))))))
sum331_in_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686) → U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_in_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680))))))))
sum331_in_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729) → U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_in_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723))))))))
sum331_in_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772) → U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_in_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766))))))))
sum331_in_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815) → U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_in_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809))))))))
U81_gggggggga(T1918, T1919, T1920, T1921, T1922, T1923, T1924, T1925, sum331_out_gggggggga(T1918, T1919, s(s(s(s(s(s(s(T1920))))))), T1921, T1922, T1923, T1924, T1925, X2614)) → sum311_out_gggggggga(0, .(s(s(T1918)), T1919), T1920, T1921, T1922, T1923, T1924, T1925, X2614)
U202_gggggggga(T2809, T2810, T2811, T2812, T2813, T2814, T2815, sum385_out_ggga(T2809, T2810, .(s(T2811), .(s(T2812), .(s(T2813), .(s(T2814), .(s(T2815), .(s(s(0)), T2809)))))), X3349)) → sum331_out_gggggggga(0, T2809, T2810, T2811, T2812, T2813, T2814, T2815, X3349)
U201_gggggggga(T2766, T2767, T2768, T2769, T2770, T2771, T2772, sum385_out_ggga(T2766, s(T2767), .(s(T2768), .(s(T2769), .(s(T2770), .(s(T2771), .(s(T2772), .(s(s(s(0))), T2766)))))), X3319)) → sum331_out_gggggggga(s(0), T2766, T2767, T2768, T2769, T2770, T2771, T2772, X3319)
U200_gggggggga(T2723, T2724, T2725, T2726, T2727, T2728, T2729, sum385_out_ggga(T2723, s(s(T2724)), .(s(T2725), .(s(T2726), .(s(T2727), .(s(T2728), .(s(T2729), .(s(s(s(s(0)))), T2723)))))), X3289)) → sum331_out_gggggggga(s(s(0)), T2723, T2724, T2725, T2726, T2727, T2728, T2729, X3289)
U199_gggggggga(T2680, T2681, T2682, T2683, T2684, T2685, T2686, sum385_out_ggga(T2680, s(s(s(T2681))), .(s(T2682), .(s(T2683), .(s(T2684), .(s(T2685), .(s(T2686), .(s(s(s(s(s(0))))), T2680)))))), X3259)) → sum331_out_gggggggga(s(s(s(0))), T2680, T2681, T2682, T2683, T2684, T2685, T2686, X3259)
U198_gggggggga(T2637, T2638, T2639, T2640, T2641, T2642, T2643, sum385_out_ggga(T2637, s(s(s(s(T2638)))), .(s(T2639), .(s(T2640), .(s(T2641), .(s(T2642), .(s(T2643), .(s(s(s(s(s(s(0)))))), T2637)))))), X3229)) → sum331_out_gggggggga(s(s(s(s(0)))), T2637, T2638, T2639, T2640, T2641, T2642, T2643, X3229)
U197_gggggggga(T2594, T2595, T2596, T2597, T2598, T2599, T2600, sum385_out_ggga(T2594, s(s(s(s(s(T2595))))), .(s(T2596), .(s(T2597), .(s(T2598), .(s(T2599), .(s(T2600), .(s(s(s(s(s(s(s(0))))))), T2594)))))), X3199)) → sum331_out_gggggggga(s(s(s(s(s(0))))), T2594, T2595, T2596, T2597, T2598, T2599, T2600, X3199)
sum362_in_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285) → U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_in_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285))
sum362_in_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388) → U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_in_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381)))))))))
sum362_in_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535) → U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_in_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528)))))))))
sum362_in_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565) → sum362_out_ggggggggga(0, [], T2559, T2560, T2561, T2562, T2563, T2564, T2565, .(s(s(s(s(s(s(s(T2559))))))), .(s(T2560), .(s(T2561), .(s(T2562), .(s(T2563), .(s(T2564), .(s(T2565), []))))))))
U196_gggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, sum362_out_ggggggggga(T2215, T2216, T2217, T2218, T2219, T2220, T2221, T2222, s(s(s(s(s(s(s(T2215))))))), X2866)) → sum331_out_gggggggga(s(s(s(s(s(s(T2215)))))), T2216, T2217, T2218, T2219, T2220, T2221, T2222, X2866)
U86_ggggggggga(T2528, T2529, T2530, T2531, T2532, T2533, T2534, T2535, sum385_out_ggga(T2528, s(s(s(s(s(s(T2529)))))), .(s(T2530), .(s(T2531), .(s(T2532), .(s(T2533), .(s(T2534), .(s(T2535), .(0, T2528))))))), X3165)) → sum362_out_ggggggggga(0, .(0, T2528), T2529, T2530, T2531, T2532, T2533, T2534, T2535, X3165)
U85_ggggggggga(T2380, T2381, T2382, T2383, T2384, T2385, T2386, T2387, T2388, sum377_out_gggga(T2380, T2381, s(s(s(s(s(s(s(T2382))))))), .(s(T2383), .(s(T2384), .(s(T2385), .(s(T2386), .(s(T2387), .(s(T2388), .(s(T2380), T2381))))))), X2983)) → sum362_out_ggggggggga(0, .(s(T2380), T2381), T2382, T2383, T2384, T2385, T2386, T2387, T2388, X2983)
U84_ggggggggga(T2277, T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, sum362_out_ggggggggga(T2277, T2278, s(T2279), T2280, T2281, T2282, T2283, T2284, T2285, X2913)) → sum362_out_ggggggggga(s(T2277), T2278, T2279, T2280, T2281, T2282, T2283, T2284, T2285, X2913)
U80_gggggggga(T1779, T1780, T1781, T1782, T1783, T1784, T1785, T1786, sum311_out_gggggggga(T1779, T1780, s(T1781), T1782, T1783, T1784, T1785, T1786, X2503)) → sum311_out_gggggggga(s(T1779), T1780, T1781, T1782, T1783, T1784, T1785, T1786, X2503)
U75_ggggggga(T1343, T1344, T1345, T1346, T1347, T1348, T1349, sum260_out_ggggggga(T1343, T1344, s(T1345), T1346, T1347, T1348, T1349, X2093)) → sum260_out_ggggggga(s(T1343), T1344, T1345, T1346, T1347, T1348, T1349, X2093)
U69_gggggga(T969, T970, T971, T972, T973, T974, sum209_out_gggggga(T969, T970, s(T971), T972, T973, T974, X1683)) → sum209_out_gggggga(s(T969), T970, T971, T972, T973, T974, X1683)
U62_ggggga(T657, T658, T659, T660, T661, sum158_out_ggggga(T657, T658, s(T659), T660, T661, X1273)) → sum158_out_ggggga(s(T657), T658, T659, T660, T661, X1273)
U54_gggga(T407, T408, T409, T410, sum107_out_gggga(T407, T408, s(T409), T410, X863)) → sum107_out_gggga(s(T407), T408, T409, T410, X863)
U3_ggga(T219, T220, T221, sum55_out_ggga(T219, T220, s(T221), X453)) → sum55_out_ggga(s(T219), T220, T221, X453)
U209_ggga(T6697, T6698, sum1821_out_gga(T6697, T6698, X11807)) → sum10_out_ggga(s(0), T6697, T6698, X11807)
U208_ggga(T6495, T6496, sum1709_out_gga(T6495, T6496, X11108)) → sum10_out_ggga(s(s(0)), T6495, T6496, X11108)
U207_ggga(T6293, T6294, sum1597_out_gga(T6293, T6294, X10409)) → sum10_out_ggga(s(s(s(0))), T6293, T6294, X10409)
U206_ggga(T6091, T6092, sum1485_out_gga(T6091, T6092, X9710)) → sum10_out_ggga(s(s(s(s(0)))), T6091, T6092, X9710)
U205_ggga(T5889, T5890, sum1373_out_gga(T5889, T5890, X9011)) → sum10_out_ggga(s(s(s(s(s(0))))), T5889, T5890, X9011)
U204_ggga(T5653, T5654, sum1253_out_gga(T5653, T5654, X8264)) → sum10_out_ggga(s(s(s(s(s(s(0)))))), T5653, T5654, X8264)
sum47_in_gggga(s(T181), T182, T183, T184) → U1_gggga(T181, T182, T183, T184, sum47_in_gggga(T181, T182, T183, s(T184)))
sum47_in_gggga(0, T201, T202, T203) → U2_gggga(T201, T202, T203, sum55_in_ggga(T201, T202, T203))
U203_ggga(T154, T155, T156, sum47_out_gggga(T154, T155, T156, s(s(s(s(s(s(s(0))))))), X336)) → sum10_out_ggga(s(s(s(s(s(s(s(T154))))))), T155, T156, X336)
U2_gggga(T201, T202, T203, sum55_out_ggga(T201, T202, T203, X414)) → sum47_out_gggga(0, T201, T202, T203, X414)
U1_gggga(T181, T182, T183, T184, sum47_out_gggga(T181, T182, T183, s(T184), X383)) → sum47_out_gggga(s(T181), T182, T183, T184, X383)

The set Q consists of the following terms:

sum10_in_ggga(x0, x1, x2)
U203_ggga(x0, x1, x2, x3)
U204_ggga(x0, x1, x2)
U205_ggga(x0, x1, x2)
U206_ggga(x0, x1, x2)
U207_ggga(x0, x1, x2)
U208_ggga(x0, x1, x2)
U209_ggga(x0, x1, x2)
U210_ggga(x0, x1, x2)
sum47_in_gggga(x0, x1, x2, x3)
sum1253_in_gga(x0, x1)
sum1373_in_gga(x0, x1)
sum1485_in_gga(x0, x1)
sum1597_in_gga(x0, x1)
sum1709_in_gga(x0, x1)
sum1821_in_gga(x0, x1)
sum1933_in_gga(x0, x1)
sum2007_in_gga(x0, x1)
U1_gggga(x0, x1, x2, x3, x4)
U2_gggga(x0, x1, x2, x3)
U93_gga(x0, x1, x2)
U94_gga(x0, x1, x2)
U95_gga(x0, x1, x2)
U96_gga(x0, x1, x2)
U97_gga(x0, x1, x2)
U98_gga(x0, x1, x2)
U99_gga(x0, x1, x2)
U100_gga(x0, x1, x2)
U101_gga(x0, x1)
U104_gga(x0, x1, x2)
U105_gga(x0, x1, x2)
U106_gga(x0, x1, x2)
U107_gga(x0, x1, x2)
U108_gga(x0, x1, x2)
U109_gga(x0, x1, x2)
U110_gga(x0, x1, x2)
U111_gga(x0, x1, x2)
U112_gga(x0, x1)
U115_gga(x0, x1, x2)
U116_gga(x0, x1, x2)
U117_gga(x0, x1, x2)
U118_gga(x0, x1, x2)
U119_gga(x0, x1, x2)
U120_gga(x0, x1, x2)
U121_gga(x0, x1, x2)
U122_gga(x0, x1, x2)
U123_gga(x0, x1)
U126_gga(x0, x1, x2)
U127_gga(x0, x1, x2)
U128_gga(x0, x1, x2)
U129_gga(x0, x1, x2)
U130_gga(x0, x1, x2)
U131_gga(x0, x1, x2)
U132_gga(x0, x1, x2)
U133_gga(x0, x1, x2)
U134_gga(x0, x1)
U137_gga(x0, x1, x2)
U138_gga(x0, x1, x2)
U139_gga(x0, x1, x2)
U140_gga(x0, x1, x2)
U141_gga(x0, x1, x2)
U142_gga(x0, x1, x2)
U143_gga(x0, x1, x2)
U144_gga(x0, x1, x2)
U145_gga(x0, x1)
U148_gga(x0, x1, x2)
U149_gga(x0, x1, x2)
U150_gga(x0, x1, x2)
U151_gga(x0, x1, x2)
U152_gga(x0, x1, x2)
U153_gga(x0, x1, x2)
U154_gga(x0, x1, x2)
U155_gga(x0, x1, x2)
U156_gga(x0, x1)
U159_gga(x0, x1, x2)
U160_gga(x0, x1, x2)
U161_gga(x0, x1, x2)
U162_gga(x0, x1, x2)
U163_gga(x0, x1, x2)
U164_gga(x0, x1, x2)
U165_gga(x0, x1, x2)
U166_gga(x0, x1, x2)
U167_gga(x0, x1)
U157_gga(x0, x1, x2, x3)
U158_gga(x0, x1, x2)
sum55_in_ggga(x0, x1, x2)
sum385_in_ggga(x0, x1, x2)
sum1335_in_gga(x0, x1)
sum1447_in_gga(x0, x1)
sum1559_in_gga(x0, x1)
sum1671_in_gga(x0, x1)
sum1783_in_gga(x0, x1)
sum1895_in_gga(x0, x1)
U3_ggga(x0, x1, x2, x3)
U4_ggga(x0, x1, x2, x3)
U5_ggga(x0, x1, x2, x3)
U6_ggga(x0, x1, x2, x3)
U7_ggga(x0, x1, x2, x3)
U8_ggga(x0, x1, x2, x3)
U9_ggga(x0, x1, x2, x3)
U10_ggga(x0, x1, x2, x3)
U11_ggga(x0, x1, x2)
U12_ggga(x0, x1, x2, x3)
U13_ggga(x0, x1, x2, x3)
U14_ggga(x0, x1, x2, x3)
U15_ggga(x0, x1, x2, x3)
U16_ggga(x0, x1, x2, x3)
U17_ggga(x0, x1, x2, x3)
U18_ggga(x0, x1, x2)
U19_ggga(x0, x1, x2, x3)
U20_ggga(x0, x1, x2, x3)
U21_ggga(x0, x1, x2, x3)
U22_ggga(x0, x1, x2, x3)
U23_ggga(x0, x1, x2, x3)
U24_ggga(x0, x1, x2, x3)
U25_ggga(x0, x1, x2)
U26_ggga(x0, x1, x2, x3)
U27_ggga(x0, x1, x2, x3)
U28_ggga(x0, x1, x2, x3)
U29_ggga(x0, x1, x2, x3)
U30_ggga(x0, x1, x2, x3)
U31_ggga(x0, x1, x2, x3)
U32_ggga(x0, x1, x2)
U33_ggga(x0, x1, x2, x3)
U34_ggga(x0, x1, x2, x3)
U35_ggga(x0, x1, x2, x3)
U36_ggga(x0, x1, x2, x3)
U37_ggga(x0, x1, x2, x3)
U38_ggga(x0, x1, x2, x3)
U39_ggga(x0, x1, x2)
U40_ggga(x0, x1, x2, x3)
U41_ggga(x0, x1, x2, x3)
U42_ggga(x0, x1, x2, x3)
U43_ggga(x0, x1, x2, x3)
U44_ggga(x0, x1, x2, x3)
U45_ggga(x0, x1, x2, x3)
U46_ggga(x0, x1, x2)
U47_ggga(x0, x1, x2, x3)
U48_ggga(x0, x1, x2, x3)
U49_ggga(x0, x1, x2, x3)
U50_ggga(x0, x1, x2, x3)
U51_ggga(x0, x1, x2, x3)
U52_ggga(x0, x1, x2, x3)
U53_ggga(x0, x1, x2)
U89_ggga(x0, x1, x2, x3, x4)
U90_ggga(x0, x1, x2, x3)
U91_gga(x0, x1, x2, x3)
U92_gga(x0, x1, x2)
U102_gga(x0, x1, x2, x3)
U103_gga(x0, x1, x2)
U113_gga(x0, x1, x2, x3)
U114_gga(x0, x1, x2)
U124_gga(x0, x1, x2, x3)
U125_gga(x0, x1, x2)
U135_gga(x0, x1, x2, x3)
U136_gga(x0, x1, x2)
U146_gga(x0, x1, x2, x3)
U147_gga(x0, x1, x2)
sum101_in_ggga(x0, x1, x2)
sum377_in_gggga(x0, x1, x2, x3)
U170_ggga(x0, x1, x2, x3)
U171_ggga(x0, x1, x2, x3)
U172_ggga(x0, x1, x2, x3)
U173_ggga(x0, x1, x2, x3)
U174_ggga(x0, x1, x2, x3)
U175_ggga(x0, x1, x2, x3)
U176_ggga(x0, x1, x2, x3)
U177_ggga(x0, x1, x2)
U87_gggga(x0, x1, x2, x3, x4)
U88_gggga(x0, x1, x2, x3)
sum107_in_gggga(x0, x1, x2, x3)
U54_gggga(x0, x1, x2, x3, x4)
U55_gggga(x0, x1, x2, x3, x4)
U56_gggga(x0, x1, x2, x3)
U57_gggga(x0, x1, x2, x3)
U58_gggga(x0, x1, x2, x3)
U59_gggga(x0, x1, x2, x3)
U60_gggga(x0, x1, x2, x3)
U61_gggga(x0, x1, x2, x3)
sum147_in_gggga(x0, x1, x2, x3)
U178_gggga(x0, x1, x2, x3, x4)
U179_gggga(x0, x1, x2, x3)
U180_gggga(x0, x1, x2, x3)
sum158_in_ggggga(x0, x1, x2, x3, x4)
U62_ggggga(x0, x1, x2, x3, x4, x5)
U63_ggggga(x0, x1, x2, x3, x4, x5)
U64_ggggga(x0, x1, x2, x3, x4)
U65_ggggga(x0, x1, x2, x3, x4)
U66_ggggga(x0, x1, x2, x3, x4)
U67_ggggga(x0, x1, x2, x3, x4)
U68_ggggga(x0, x1, x2, x3, x4)
sum193_in_ggggga(x0, x1, x2, x3, x4)
U181_ggggga(x0, x1, x2, x3, x4, x5)
U182_ggggga(x0, x1, x2, x3, x4)
U183_ggggga(x0, x1, x2, x3, x4)
U184_ggggga(x0, x1, x2, x3, x4)
sum209_in_gggggga(x0, x1, x2, x3, x4, x5)
U69_gggggga(x0, x1, x2, x3, x4, x5, x6)
U70_gggggga(x0, x1, x2, x3, x4, x5, x6)
U71_gggggga(x0, x1, x2, x3, x4, x5)
U72_gggggga(x0, x1, x2, x3, x4, x5)
U73_gggggga(x0, x1, x2, x3, x4, x5)
U74_gggggga(x0, x1, x2, x3, x4, x5)
sum239_in_gggggga(x0, x1, x2, x3, x4, x5)
U185_gggggga(x0, x1, x2, x3, x4, x5, x6)
U186_gggggga(x0, x1, x2, x3, x4, x5)
U187_gggggga(x0, x1, x2, x3, x4, x5)
U188_gggggga(x0, x1, x2, x3, x4, x5)
U189_gggggga(x0, x1, x2, x3, x4, x5)
sum260_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U75_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U76_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U77_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U78_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U79_ggggggga(x0, x1, x2, x3, x4, x5, x6)
sum285_in_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U190_ggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U191_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U192_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U193_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U194_ggggggga(x0, x1, x2, x3, x4, x5, x6)
U195_ggggggga(x0, x1, x2, x3, x4, x5, x6)
sum311_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U80_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U81_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U82_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U83_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
sum331_in_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U196_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U197_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U198_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U199_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U200_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U201_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
U202_gggggggga(x0, x1, x2, x3, x4, x5, x6, x7)
sum362_in_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)
U84_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U85_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9)
U86_ggggggggga(x0, x1, x2, x3, x4, x5, x6, x7, x8)

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